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Finding the Fourth Proportional to 106.49, 147.52 and 103.97

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Solution

The fourth proportional to 106.49, 147.52 and 103.97 is: 144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.49 : 147.52 = 103.97 : x
  2. Step 2: Convert to fraction form
    106.49/147.52 = 103.97/x
  3. Step 3: Cross multiply
    106.49x = 147.52 × 103.97
  4. Step 4: Simplify right side
    106.49x = 15,337.65
  5. Step 5: Solve for x
    x = 15,337.65/106.49
  6. Step 6: Final answer
    x = 144.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.