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Finding the Fourth Proportional to 125.96, 189.17 and 82.72

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Solution

The fourth proportional to 125.96, 189.17 and 82.72 is: 124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.96 : 189.17 = 82.72 : x
  2. Step 2: Convert to fraction form
    125.96/189.17 = 82.72/x
  3. Step 3: Cross multiply
    125.96x = 189.17 × 82.72
  4. Step 4: Simplify right side
    125.96x = 15,648.01
  5. Step 5: Solve for x
    x = 15,648.01/125.96
  6. Step 6: Final answer
    x = 124.23

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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.