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Finding the Fourth Proportional to 95.82, 142.93 and 84.88

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Solution

The fourth proportional to 95.82, 142.93 and 84.88 is: 126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.82 : 142.93 = 84.88 : x
  2. Step 2: Convert to fraction form
    95.82/142.93 = 84.88/x
  3. Step 3: Cross multiply
    95.82x = 142.93 × 84.88
  4. Step 4: Simplify right side
    95.82x = 12,131.47
  5. Step 5: Solve for x
    x = 12,131.47/95.82
  6. Step 6: Final answer
    x = 126.61

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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.