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Finding the Fourth Proportional to 91.42, 126.11 and 75.12

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Solution

The fourth proportional to 91.42, 126.11 and 75.12 is: 103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.42 : 126.11 = 75.12 : x
  2. Step 2: Convert to fraction form
    91.42/126.11 = 75.12/x
  3. Step 3: Cross multiply
    91.42x = 126.11 × 75.12
  4. Step 4: Simplify right side
    91.42x = 9,473.38
  5. Step 5: Solve for x
    x = 9,473.38/91.42
  6. Step 6: Final answer
    x = 103.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.