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Finding the Fourth Proportional to 39.24, 54.16 and 28.91

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Solution

The fourth proportional to 39.24, 54.16 and 28.91 is: 39.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.24 : 54.16 = 28.91 : x
  2. Step 2: Convert to fraction form
    39.24/54.16 = 28.91/x
  3. Step 3: Cross multiply
    39.24x = 54.16 × 28.91
  4. Step 4: Simplify right side
    39.24x = 1,565.83
  5. Step 5: Solve for x
    x = 1,565.83/39.24
  6. Step 6: Final answer
    x = 39.90

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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.