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Finding the Fourth Proportional to 106.59, 146.95 and 104.29

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Solution

The fourth proportional to 106.59, 146.95 and 104.29 is: 143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.59 : 146.95 = 104.29 : x
  2. Step 2: Convert to fraction form
    106.59/146.95 = 104.29/x
  3. Step 3: Cross multiply
    106.59x = 146.95 × 104.29
  4. Step 4: Simplify right side
    106.59x = 15,325.42
  5. Step 5: Solve for x
    x = 15,325.42/106.59
  6. Step 6: Final answer
    x = 143.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.