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Finding the Fourth Proportional to 89.04, 134.20 and 83.82

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Solution

The fourth proportional to 89.04, 134.20 and 83.82 is: 126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.04 : 134.20 = 83.82 : x
  2. Step 2: Convert to fraction form
    89.04/134.20 = 83.82/x
  3. Step 3: Cross multiply
    89.04x = 134.20 × 83.82
  4. Step 4: Simplify right side
    89.04x = 11,248.64
  5. Step 5: Solve for x
    x = 11,248.64/89.04
  6. Step 6: Final answer
    x = 126.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.