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Finding the Fourth Proportional to 91.34, 136.82 and 42.63

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Solution

The fourth proportional to 91.34, 136.82 and 42.63 is: 63.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.34 : 136.82 = 42.63 : x
  2. Step 2: Convert to fraction form
    91.34/136.82 = 42.63/x
  3. Step 3: Cross multiply
    91.34x = 136.82 × 42.63
  4. Step 4: Simplify right side
    91.34x = 5,832.42
  5. Step 5: Solve for x
    x = 5,832.42/91.34
  6. Step 6: Final answer
    x = 63.85

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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.