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Finding the Fourth Proportional to 125.97, 189.14 and 65.16

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Solution

The fourth proportional to 125.97, 189.14 and 65.16 is: 97.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.97 : 189.14 = 65.16 : x
  2. Step 2: Convert to fraction form
    125.97/189.14 = 65.16/x
  3. Step 3: Cross multiply
    125.97x = 189.14 × 65.16
  4. Step 4: Simplify right side
    125.97x = 12,324.04
  5. Step 5: Solve for x
    x = 12,324.04/125.97
  6. Step 6: Final answer
    x = 97.83

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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.