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Finding the Fourth Proportional to 95.29, 142.81 and 54.65

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Solution

The fourth proportional to 95.29, 142.81 and 54.65 is: 81.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.29 : 142.81 = 54.65 : x
  2. Step 2: Convert to fraction form
    95.29/142.81 = 54.65/x
  3. Step 3: Cross multiply
    95.29x = 142.81 × 54.65
  4. Step 4: Simplify right side
    95.29x = 7,804.57
  5. Step 5: Solve for x
    x = 7,804.57/95.29
  6. Step 6: Final answer
    x = 81.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.