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Finding the Fourth Proportional to 95.82, 142.73 and 81.06

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Solution

The fourth proportional to 95.82, 142.73 and 81.06 is: 120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.82 : 142.73 = 81.06 : x
  2. Step 2: Convert to fraction form
    95.82/142.73 = 81.06/x
  3. Step 3: Cross multiply
    95.82x = 142.73 × 81.06
  4. Step 4: Simplify right side
    95.82x = 11,569.29
  5. Step 5: Solve for x
    x = 11,569.29/95.82
  6. Step 6: Final answer
    x = 120.74

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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.