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Finding the Fourth Proportional to 126.48, 189.72 and 75.11

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Solution

The fourth proportional to 126.48, 189.72 and 75.11 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.48 : 189.72 = 75.11 : x
  2. Step 2: Convert to fraction form
    126.48/189.72 = 75.11/x
  3. Step 3: Cross multiply
    126.48x = 189.72 × 75.11
  4. Step 4: Simplify right side
    126.48x = 14,249.47
  5. Step 5: Solve for x
    x = 14,249.47/126.48
  6. Step 6: Final answer
    x = 112.66

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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.