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Finding the Fourth Proportional to 115.23, 159.05 and 73.76

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Solution

The fourth proportional to 115.23, 159.05 and 73.76 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.23 : 159.05 = 73.76 : x
  2. Step 2: Convert to fraction form
    115.23/159.05 = 73.76/x
  3. Step 3: Cross multiply
    115.23x = 159.05 × 73.76
  4. Step 4: Simplify right side
    115.23x = 11,731.53
  5. Step 5: Solve for x
    x = 11,731.53/115.23
  6. Step 6: Final answer
    x = 101.81

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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.