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Finding the Fourth Proportional to 81.68, 112.54 and 81.52

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Solution

The fourth proportional to 81.68, 112.54 and 81.52 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.68 : 112.54 = 81.52 : x
  2. Step 2: Convert to fraction form
    81.68/112.54 = 81.52/x
  3. Step 3: Cross multiply
    81.68x = 112.54 × 81.52
  4. Step 4: Simplify right side
    81.68x = 9,174.26
  5. Step 5: Solve for x
    x = 9,174.26/81.68
  6. Step 6: Final answer
    x = 112.32

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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.