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Finding the Fourth Proportional to 91.48, 137.03 and 42.66

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Solution

The fourth proportional to 91.48, 137.03 and 42.66 is: 63.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.48 : 137.03 = 42.66 : x
  2. Step 2: Convert to fraction form
    91.48/137.03 = 42.66/x
  3. Step 3: Cross multiply
    91.48x = 137.03 × 42.66
  4. Step 4: Simplify right side
    91.48x = 5,845.70
  5. Step 5: Solve for x
    x = 5,845.70/91.48
  6. Step 6: Final answer
    x = 63.90

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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.