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Finding the Fourth Proportional to 106.86, 159 and 104.34

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Solution

The fourth proportional to 106.86, 159 and 104.34 is: 155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 159 = 104.34 : x
  2. Step 2: Convert to fraction form
    106.86/159 = 104.34/x
  3. Step 3: Cross multiply
    106.86x = 159 × 104.34
  4. Step 4: Simplify right side
    106.86x = 16,590.06
  5. Step 5: Solve for x
    x = 16,590.06/106.86
  6. Step 6: Final answer
    x = 155.25

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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.