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Finding the Fourth Proportional to 62.91, 86.97 and 54.71

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Solution

The fourth proportional to 62.91, 86.97 and 54.71 is: 75.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.91 : 86.97 = 54.71 : x
  2. Step 2: Convert to fraction form
    62.91/86.97 = 54.71/x
  3. Step 3: Cross multiply
    62.91x = 86.97 × 54.71
  4. Step 4: Simplify right side
    62.91x = 4,758.23
  5. Step 5: Solve for x
    x = 4,758.23/62.91
  6. Step 6: Final answer
    x = 75.64

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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.