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Finding the Fourth Proportional to 30.75, 42.42 and 22.56

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Solution

The fourth proportional to 30.75, 42.42 and 22.56 is: 31.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 42.42 = 22.56 : x
  2. Step 2: Convert to fraction form
    30.75/42.42 = 22.56/x
  3. Step 3: Cross multiply
    30.75x = 42.42 × 22.56
  4. Step 4: Simplify right side
    30.75x = 957.00
  5. Step 5: Solve for x
    x = 957.00/30.75
  6. Step 6: Final answer
    x = 31.12

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Find fourth proportional to 15.38, 21.21 and 11.28
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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.