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Finding the Fourth Proportional to 71.62, 98.72 and 59.20

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Solution

The fourth proportional to 71.62, 98.72 and 59.20 is: 81.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.62 : 98.72 = 59.20 : x
  2. Step 2: Convert to fraction form
    71.62/98.72 = 59.20/x
  3. Step 3: Cross multiply
    71.62x = 98.72 × 59.20
  4. Step 4: Simplify right side
    71.62x = 5,844.22
  5. Step 5: Solve for x
    x = 5,844.22/71.62
  6. Step 6: Final answer
    x = 81.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.