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Finding the Fourth Proportional to 115.23, 158.92 and 73.79

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Solution

The fourth proportional to 115.23, 158.92 and 73.79 is: 101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.23 : 158.92 = 73.79 : x
  2. Step 2: Convert to fraction form
    115.23/158.92 = 73.79/x
  3. Step 3: Cross multiply
    115.23x = 158.92 × 73.79
  4. Step 4: Simplify right side
    115.23x = 11,726.71
  5. Step 5: Solve for x
    x = 11,726.71/115.23
  6. Step 6: Final answer
    x = 101.77

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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.