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Finding the Fourth Proportional to 89.33, 133.46 and 71.32

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Solution

The fourth proportional to 89.33, 133.46 and 71.32 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.33 : 133.46 = 71.32 : x
  2. Step 2: Convert to fraction form
    89.33/133.46 = 71.32/x
  3. Step 3: Cross multiply
    89.33x = 133.46 × 71.32
  4. Step 4: Simplify right side
    89.33x = 9,517.68
  5. Step 5: Solve for x
    x = 9,517.68/89.33
  6. Step 6: Final answer
    x = 106.54

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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.