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Finding the Fourth Proportional to 106.38, 145.96 and 103.70

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Solution

The fourth proportional to 106.38, 145.96 and 103.70 is: 142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 145.96 = 103.70 : x
  2. Step 2: Convert to fraction form
    106.38/145.96 = 103.70/x
  3. Step 3: Cross multiply
    106.38x = 145.96 × 103.70
  4. Step 4: Simplify right side
    106.38x = 15,136.16
  5. Step 5: Solve for x
    x = 15,136.16/106.38
  6. Step 6: Final answer
    x = 142.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.