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Finding the Fourth Proportional to 115.09, 158.89 and 106.31

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Solution

The fourth proportional to 115.09, 158.89 and 106.31 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.09 : 158.89 = 106.31 : x
  2. Step 2: Convert to fraction form
    115.09/158.89 = 106.31/x
  3. Step 3: Cross multiply
    115.09x = 158.89 × 106.31
  4. Step 4: Simplify right side
    115.09x = 16,891.60
  5. Step 5: Solve for x
    x = 16,891.60/115.09
  6. Step 6: Final answer
    x = 146.77

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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.