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Finding the Fourth Proportional to 91.55, 137.05 and 71.17

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Solution

The fourth proportional to 91.55, 137.05 and 71.17 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.55 : 137.05 = 71.17 : x
  2. Step 2: Convert to fraction form
    91.55/137.05 = 71.17/x
  3. Step 3: Cross multiply
    91.55x = 137.05 × 71.17
  4. Step 4: Simplify right side
    91.55x = 9,753.85
  5. Step 5: Solve for x
    x = 9,753.85/91.55
  6. Step 6: Final answer
    x = 106.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.