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Finding the Fourth Proportional to 87.98, 121.56 and 71.58

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Solution

The fourth proportional to 87.98, 121.56 and 71.58 is: 98.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.98 : 121.56 = 71.58 : x
  2. Step 2: Convert to fraction form
    87.98/121.56 = 71.58/x
  3. Step 3: Cross multiply
    87.98x = 121.56 × 71.58
  4. Step 4: Simplify right side
    87.98x = 8,701.26
  5. Step 5: Solve for x
    x = 8,701.26/87.98
  6. Step 6: Final answer
    x = 98.90

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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.