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Finding the Fourth Proportional to 113.46, 169.95 and 89.05

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Solution

The fourth proportional to 113.46, 169.95 and 89.05 is: 133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.46 : 169.95 = 89.05 : x
  2. Step 2: Convert to fraction form
    113.46/169.95 = 89.05/x
  3. Step 3: Cross multiply
    113.46x = 169.95 × 89.05
  4. Step 4: Simplify right side
    113.46x = 15,134.25
  5. Step 5: Solve for x
    x = 15,134.25/113.46
  6. Step 6: Final answer
    x = 133.39

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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.