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Finding the Fourth Proportional to 126.65, 189.92 and 75.31

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Solution

The fourth proportional to 126.65, 189.92 and 75.31 is: 112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.65 : 189.92 = 75.31 : x
  2. Step 2: Convert to fraction form
    126.65/189.92 = 75.31/x
  3. Step 3: Cross multiply
    126.65x = 189.92 × 75.31
  4. Step 4: Simplify right side
    126.65x = 14,302.59
  5. Step 5: Solve for x
    x = 14,302.59/126.65
  6. Step 6: Final answer
    x = 112.93

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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.