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Finding the Fourth Proportional to 89.33, 133.23 and 82.04

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Solution

The fourth proportional to 89.33, 133.23 and 82.04 is: 122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.33 : 133.23 = 82.04 : x
  2. Step 2: Convert to fraction form
    89.33/133.23 = 82.04/x
  3. Step 3: Cross multiply
    89.33x = 133.23 × 82.04
  4. Step 4: Simplify right side
    89.33x = 10,929.11
  5. Step 5: Solve for x
    x = 10,929.11/89.33
  6. Step 6: Final answer
    x = 122.35

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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.