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Finding the Fourth Proportional to 54, 74.52 and 30.69

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Solution

The fourth proportional to 54, 74.52 and 30.69 is: 42.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 74.52 = 30.69 : x
  2. Step 2: Convert to fraction form
    54/74.52 = 30.69/x
  3. Step 3: Cross multiply
    54x = 74.52 × 30.69
  4. Step 4: Simplify right side
    54x = 2,287.02
  5. Step 5: Solve for x
    x = 2,287.02/54
  6. Step 6: Final answer
    x = 42.35

Related Problems

Find fourth proportional to 27, 37.26 and 15.35
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.