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Finding the Fourth Proportional to 95.70, 143.66 and 76.66

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Solution

The fourth proportional to 95.70, 143.66 and 76.66 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.70 : 143.66 = 76.66 : x
  2. Step 2: Convert to fraction form
    95.70/143.66 = 76.66/x
  3. Step 3: Cross multiply
    95.70x = 143.66 × 76.66
  4. Step 4: Simplify right side
    95.70x = 11,013.18
  5. Step 5: Solve for x
    x = 11,013.18/95.70
  6. Step 6: Final answer
    x = 115.08

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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.