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Finding the Fourth Proportional to 95.75, 143.72 and 76.61

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Solution

The fourth proportional to 95.75, 143.72 and 76.61 is: 114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.75 : 143.72 = 76.61 : x
  2. Step 2: Convert to fraction form
    95.75/143.72 = 76.61/x
  3. Step 3: Cross multiply
    95.75x = 143.72 × 76.61
  4. Step 4: Simplify right side
    95.75x = 11,009.29
  5. Step 5: Solve for x
    x = 11,009.29/95.75
  6. Step 6: Final answer
    x = 114.99

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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.