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Finding the Fourth Proportional to 125.57, 173.14 and 106.86

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Solution

The fourth proportional to 125.57, 173.14 and 106.86 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.57 : 173.14 = 106.86 : x
  2. Step 2: Convert to fraction form
    125.57/173.14 = 106.86/x
  3. Step 3: Cross multiply
    125.57x = 173.14 × 106.86
  4. Step 4: Simplify right side
    125.57x = 18,501.74
  5. Step 5: Solve for x
    x = 18,501.74/125.57
  6. Step 6: Final answer
    x = 147.34

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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.