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Finding the Fourth Proportional to 106.15, 146.05 and 103.72

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Solution

The fourth proportional to 106.15, 146.05 and 103.72 is: 142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.15 : 146.05 = 103.72 : x
  2. Step 2: Convert to fraction form
    106.15/146.05 = 103.72/x
  3. Step 3: Cross multiply
    106.15x = 146.05 × 103.72
  4. Step 4: Simplify right side
    106.15x = 15,148.31
  5. Step 5: Solve for x
    x = 15,148.31/106.15
  6. Step 6: Final answer
    x = 142.71

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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.