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Finding the Fourth Proportional to 125.97, 189.17 and 116.50

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Solution

The fourth proportional to 125.97, 189.17 and 116.50 is: 174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.97 : 189.17 = 116.50 : x
  2. Step 2: Convert to fraction form
    125.97/189.17 = 116.50/x
  3. Step 3: Cross multiply
    125.97x = 189.17 × 116.50
  4. Step 4: Simplify right side
    125.97x = 22,037.25
  5. Step 5: Solve for x
    x = 22,037.25/125.97
  6. Step 6: Final answer
    x = 174.94

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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.