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Finding the Fourth Proportional to 125.97, 188.06 and 96.92

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Solution

The fourth proportional to 125.97, 188.06 and 96.92 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.97 : 188.06 = 96.92 : x
  2. Step 2: Convert to fraction form
    125.97/188.06 = 96.92/x
  3. Step 3: Cross multiply
    125.97x = 188.06 × 96.92
  4. Step 4: Simplify right side
    125.97x = 18,226.78
  5. Step 5: Solve for x
    x = 18,226.78/125.97
  6. Step 6: Final answer
    x = 144.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.