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Finding the Fourth Proportional to 115.38, 159.04 and 89.06

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Solution

The fourth proportional to 115.38, 159.04 and 89.06 is: 122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.38 : 159.04 = 89.06 : x
  2. Step 2: Convert to fraction form
    115.38/159.04 = 89.06/x
  3. Step 3: Cross multiply
    115.38x = 159.04 × 89.06
  4. Step 4: Simplify right side
    115.38x = 14,164.10
  5. Step 5: Solve for x
    x = 14,164.10/115.38
  6. Step 6: Final answer
    x = 122.76

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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.