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Finding the Fourth Proportional to 89.64, 133.86 and 75.96

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Solution

The fourth proportional to 89.64, 133.86 and 75.96 is: 113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.64 : 133.86 = 75.96 : x
  2. Step 2: Convert to fraction form
    89.64/133.86 = 75.96/x
  3. Step 3: Cross multiply
    89.64x = 133.86 × 75.96
  4. Step 4: Simplify right side
    89.64x = 10,168.01
  5. Step 5: Solve for x
    x = 10,168.01/89.64
  6. Step 6: Final answer
    x = 113.43

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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.