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Finding the Fourth Proportional to 106.75, 147.33 and 83.47

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Solution

The fourth proportional to 106.75, 147.33 and 83.47 is: 115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.75 : 147.33 = 83.47 : x
  2. Step 2: Convert to fraction form
    106.75/147.33 = 83.47/x
  3. Step 3: Cross multiply
    106.75x = 147.33 × 83.47
  4. Step 4: Simplify right side
    106.75x = 12,297.64
  5. Step 5: Solve for x
    x = 12,297.64/106.75
  6. Step 6: Final answer
    x = 115.20

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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.