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Finding the Fourth Proportional to 115.97, 160.10 and 89.69

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Solution

The fourth proportional to 115.97, 160.10 and 89.69 is: 123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.97 : 160.10 = 89.69 : x
  2. Step 2: Convert to fraction form
    115.97/160.10 = 89.69/x
  3. Step 3: Cross multiply
    115.97x = 160.10 × 89.69
  4. Step 4: Simplify right side
    115.97x = 14,358.79
  5. Step 5: Solve for x
    x = 14,358.79/115.97
  6. Step 6: Final answer
    x = 123.81

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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.