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Finding the Fourth Proportional to 89.12, 133.11 and 69.82

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Solution

The fourth proportional to 89.12, 133.11 and 69.82 is: 104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.12 : 133.11 = 69.82 : x
  2. Step 2: Convert to fraction form
    89.12/133.11 = 69.82/x
  3. Step 3: Cross multiply
    89.12x = 133.11 × 69.82
  4. Step 4: Simplify right side
    89.12x = 9,293.41
  5. Step 5: Solve for x
    x = 9,293.41/89.12
  6. Step 6: Final answer
    x = 104.28

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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.