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Finding the Fourth Proportional to 91.47, 126 and 87.42

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Solution

The fourth proportional to 91.47, 126 and 87.42 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.47 : 126 = 87.42 : x
  2. Step 2: Convert to fraction form
    91.47/126 = 87.42/x
  3. Step 3: Cross multiply
    91.47x = 126 × 87.42
  4. Step 4: Simplify right side
    91.47x = 11,014.92
  5. Step 5: Solve for x
    x = 11,014.92/91.47
  6. Step 6: Final answer
    x = 120.42

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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.