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Finding the Fourth Proportional to 89.41, 133.85 and 67.83

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Solution

The fourth proportional to 89.41, 133.85 and 67.83 is: 101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.41 : 133.85 = 67.83 : x
  2. Step 2: Convert to fraction form
    89.41/133.85 = 67.83/x
  3. Step 3: Cross multiply
    89.41x = 133.85 × 67.83
  4. Step 4: Simplify right side
    89.41x = 9,079.05
  5. Step 5: Solve for x
    x = 9,079.05/89.41
  6. Step 6: Final answer
    x = 101.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.