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Finding the Fourth Proportional to 91.53, 137.27 and 37.42

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Solution

The fourth proportional to 91.53, 137.27 and 37.42 is: 56.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.53 : 137.27 = 37.42 : x
  2. Step 2: Convert to fraction form
    91.53/137.27 = 37.42/x
  3. Step 3: Cross multiply
    91.53x = 137.27 × 37.42
  4. Step 4: Simplify right side
    91.53x = 5,136.39
  5. Step 5: Solve for x
    x = 5,136.39/91.53
  6. Step 6: Final answer
    x = 56.12

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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.