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Finding the Fourth Proportional to 106.88, 147.49 and 63.23

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Solution

The fourth proportional to 106.88, 147.49 and 63.23 is: 87.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.88 : 147.49 = 63.23 : x
  2. Step 2: Convert to fraction form
    106.88/147.49 = 63.23/x
  3. Step 3: Cross multiply
    106.88x = 147.49 × 63.23
  4. Step 4: Simplify right side
    106.88x = 9,324.90
  5. Step 5: Solve for x
    x = 9,324.90/106.88
  6. Step 6: Final answer
    x = 87.25

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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.