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Finding the Fourth Proportional to 71.74, 98.96 and 62.55

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Solution

The fourth proportional to 71.74, 98.96 and 62.55 is: 86.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.74 : 98.96 = 62.55 : x
  2. Step 2: Convert to fraction form
    71.74/98.96 = 62.55/x
  3. Step 3: Cross multiply
    71.74x = 98.96 × 62.55
  4. Step 4: Simplify right side
    71.74x = 6,189.64
  5. Step 5: Solve for x
    x = 6,189.64/71.74
  6. Step 6: Final answer
    x = 86.28

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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.