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Finding the Fourth Proportional to 91.61, 137.26 and 75.11

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Solution

The fourth proportional to 91.61, 137.26 and 75.11 is: 112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.61 : 137.26 = 75.11 : x
  2. Step 2: Convert to fraction form
    91.61/137.26 = 75.11/x
  3. Step 3: Cross multiply
    91.61x = 137.26 × 75.11
  4. Step 4: Simplify right side
    91.61x = 10,309.01
  5. Step 5: Solve for x
    x = 10,309.01/91.61
  6. Step 6: Final answer
    x = 112.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.