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Finding the Fourth Proportional to 126.34, 189.56 and 75.04

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Solution

The fourth proportional to 126.34, 189.56 and 75.04 is: 112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.34 : 189.56 = 75.04 : x
  2. Step 2: Convert to fraction form
    126.34/189.56 = 75.04/x
  3. Step 3: Cross multiply
    126.34x = 189.56 × 75.04
  4. Step 4: Simplify right side
    126.34x = 14,224.58
  5. Step 5: Solve for x
    x = 14,224.58/126.34
  6. Step 6: Final answer
    x = 112.59

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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.