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Finding the Fourth Proportional to 62.16, 85.72 and 54.76

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Solution

The fourth proportional to 62.16, 85.72 and 54.76 is: 75.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.16 : 85.72 = 54.76 : x
  2. Step 2: Convert to fraction form
    62.16/85.72 = 54.76/x
  3. Step 3: Cross multiply
    62.16x = 85.72 × 54.76
  4. Step 4: Simplify right side
    62.16x = 4,694.03
  5. Step 5: Solve for x
    x = 4,694.03/62.16
  6. Step 6: Final answer
    x = 75.52

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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.