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Finding the Fourth Proportional to 62.83, 86.68 and 47.29

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Solution

The fourth proportional to 62.83, 86.68 and 47.29 is: 65.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.83 : 86.68 = 47.29 : x
  2. Step 2: Convert to fraction form
    62.83/86.68 = 47.29/x
  3. Step 3: Cross multiply
    62.83x = 86.68 × 47.29
  4. Step 4: Simplify right side
    62.83x = 4,099.10
  5. Step 5: Solve for x
    x = 4,099.10/62.83
  6. Step 6: Final answer
    x = 65.24

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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.