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Finding the Fourth Proportional to 106.91, 160.50 and 89.90

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Solution

The fourth proportional to 106.91, 160.50 and 89.90 is: 134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.91 : 160.50 = 89.90 : x
  2. Step 2: Convert to fraction form
    106.91/160.50 = 89.90/x
  3. Step 3: Cross multiply
    106.91x = 160.50 × 89.90
  4. Step 4: Simplify right side
    106.91x = 14,428.95
  5. Step 5: Solve for x
    x = 14,428.95/106.91
  6. Step 6: Final answer
    x = 134.96

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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.