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Finding the Fourth Proportional to 91.53, 137.35 and 40.19

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Solution

The fourth proportional to 91.53, 137.35 and 40.19 is: 60.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.53 : 137.35 = 40.19 : x
  2. Step 2: Convert to fraction form
    91.53/137.35 = 40.19/x
  3. Step 3: Cross multiply
    91.53x = 137.35 × 40.19
  4. Step 4: Simplify right side
    91.53x = 5,520.10
  5. Step 5: Solve for x
    x = 5,520.10/91.53
  6. Step 6: Final answer
    x = 60.31

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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.