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Finding the Fourth Proportional to 115.12, 158.81 and 75.74

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Solution

The fourth proportional to 115.12, 158.81 and 75.74 is: 104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.12 : 158.81 = 75.74 : x
  2. Step 2: Convert to fraction form
    115.12/158.81 = 75.74/x
  3. Step 3: Cross multiply
    115.12x = 158.81 × 75.74
  4. Step 4: Simplify right side
    115.12x = 12,028.27
  5. Step 5: Solve for x
    x = 12,028.27/115.12
  6. Step 6: Final answer
    x = 104.48

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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.