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Finding the Fourth Proportional to 106.38, 147.42 and 104.76

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Solution

The fourth proportional to 106.38, 147.42 and 104.76 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 147.42 = 104.76 : x
  2. Step 2: Convert to fraction form
    106.38/147.42 = 104.76/x
  3. Step 3: Cross multiply
    106.38x = 147.42 × 104.76
  4. Step 4: Simplify right side
    106.38x = 15,443.72
  5. Step 5: Solve for x
    x = 15,443.72/106.38
  6. Step 6: Final answer
    x = 145.18

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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.