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Finding the Fourth Proportional to 89.56, 133.17 and 85.91

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Solution

The fourth proportional to 89.56, 133.17 and 85.91 is: 127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.56 : 133.17 = 85.91 : x
  2. Step 2: Convert to fraction form
    89.56/133.17 = 85.91/x
  3. Step 3: Cross multiply
    89.56x = 133.17 × 85.91
  4. Step 4: Simplify right side
    89.56x = 11,440.64
  5. Step 5: Solve for x
    x = 11,440.64/89.56
  6. Step 6: Final answer
    x = 127.75

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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.