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Finding the Fourth Proportional to 91.53, 126.31 and 52.19

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Solution

The fourth proportional to 91.53, 126.31 and 52.19 is: 72.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.53 : 126.31 = 52.19 : x
  2. Step 2: Convert to fraction form
    91.53/126.31 = 52.19/x
  3. Step 3: Cross multiply
    91.53x = 126.31 × 52.19
  4. Step 4: Simplify right side
    91.53x = 6,592.30
  5. Step 5: Solve for x
    x = 6,592.30/91.53
  6. Step 6: Final answer
    x = 72.02

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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.