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Finding the Fourth Proportional to 106.69, 159.89 and 90.49

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Solution

The fourth proportional to 106.69, 159.89 and 90.49 is: 135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.69 : 159.89 = 90.49 : x
  2. Step 2: Convert to fraction form
    106.69/159.89 = 90.49/x
  3. Step 3: Cross multiply
    106.69x = 159.89 × 90.49
  4. Step 4: Simplify right side
    106.69x = 14,468.45
  5. Step 5: Solve for x
    x = 14,468.45/106.69
  6. Step 6: Final answer
    x = 135.61

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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.