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Finding the Fourth Proportional to 106.62, 159.05 and 89.61

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Solution

The fourth proportional to 106.62, 159.05 and 89.61 is: 133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 159.05 = 89.61 : x
  2. Step 2: Convert to fraction form
    106.62/159.05 = 89.61/x
  3. Step 3: Cross multiply
    106.62x = 159.05 × 89.61
  4. Step 4: Simplify right side
    106.62x = 14,252.02
  5. Step 5: Solve for x
    x = 14,252.02/106.62
  6. Step 6: Final answer
    x = 133.67

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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.