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Finding the Fourth Proportional to 106.44, 147.49 and 105.12

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Solution

The fourth proportional to 106.44, 147.49 and 105.12 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.44 : 147.49 = 105.12 : x
  2. Step 2: Convert to fraction form
    106.44/147.49 = 105.12/x
  3. Step 3: Cross multiply
    106.44x = 147.49 × 105.12
  4. Step 4: Simplify right side
    106.44x = 15,504.15
  5. Step 5: Solve for x
    x = 15,504.15/106.44
  6. Step 6: Final answer
    x = 145.66

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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.