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Finding the Fourth Proportional to 106.86, 159.35 and 104.13

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Solution

The fourth proportional to 106.86, 159.35 and 104.13 is: 155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 159.35 = 104.13 : x
  2. Step 2: Convert to fraction form
    106.86/159.35 = 104.13/x
  3. Step 3: Cross multiply
    106.86x = 159.35 × 104.13
  4. Step 4: Simplify right side
    106.86x = 16,592.59
  5. Step 5: Solve for x
    x = 16,592.59/106.86
  6. Step 6: Final answer
    x = 155.27

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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.