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Finding the Fourth Proportional to 81.45, 112.29 and 55.17

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Solution

The fourth proportional to 81.45, 112.29 and 55.17 is: 76.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.45 : 112.29 = 55.17 : x
  2. Step 2: Convert to fraction form
    81.45/112.29 = 55.17/x
  3. Step 3: Cross multiply
    81.45x = 112.29 × 55.17
  4. Step 4: Simplify right side
    81.45x = 6,195.04
  5. Step 5: Solve for x
    x = 6,195.04/81.45
  6. Step 6: Final answer
    x = 76.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.