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Finding the Fourth Proportional to 106.63, 147.11 and 77.47

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Solution

The fourth proportional to 106.63, 147.11 and 77.47 is: 106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 147.11 = 77.47 : x
  2. Step 2: Convert to fraction form
    106.63/147.11 = 77.47/x
  3. Step 3: Cross multiply
    106.63x = 147.11 × 77.47
  4. Step 4: Simplify right side
    106.63x = 11,395.86
  5. Step 5: Solve for x
    x = 11,395.86/106.63
  6. Step 6: Final answer
    x = 106.88

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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.