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Finding the Fourth Proportional to 125.29, 172.91 and 106.86

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Solution

The fourth proportional to 125.29, 172.91 and 106.86 is: 147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.29 : 172.91 = 106.86 : x
  2. Step 2: Convert to fraction form
    125.29/172.91 = 106.86/x
  3. Step 3: Cross multiply
    125.29x = 172.91 × 106.86
  4. Step 4: Simplify right side
    125.29x = 18,476.63
  5. Step 5: Solve for x
    x = 18,476.63/125.29
  6. Step 6: Final answer
    x = 147.47

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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.