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Finding the Fourth Proportional to 95.66, 142.81 and 82.14

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Solution

The fourth proportional to 95.66, 142.81 and 82.14 is: 122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.66 : 142.81 = 82.14 : x
  2. Step 2: Convert to fraction form
    95.66/142.81 = 82.14/x
  3. Step 3: Cross multiply
    95.66x = 142.81 × 82.14
  4. Step 4: Simplify right side
    95.66x = 11,730.41
  5. Step 5: Solve for x
    x = 11,730.41/95.66
  6. Step 6: Final answer
    x = 122.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.