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Finding the Fourth Proportional to 30.77, 42.47 and 27.53

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Solution

The fourth proportional to 30.77, 42.47 and 27.53 is: 37.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.77 : 42.47 = 27.53 : x
  2. Step 2: Convert to fraction form
    30.77/42.47 = 27.53/x
  3. Step 3: Cross multiply
    30.77x = 42.47 × 27.53
  4. Step 4: Simplify right side
    30.77x = 1,168.85
  5. Step 5: Solve for x
    x = 1,168.85/30.77
  6. Step 6: Final answer
    x = 37.99

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Find fourth proportional to 15.38, 21.23 and 13.76
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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.