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Finding the Fourth Proportional to 106.78, 147.12 and 77.62

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Solution

The fourth proportional to 106.78, 147.12 and 77.62 is: 106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 147.12 = 77.62 : x
  2. Step 2: Convert to fraction form
    106.78/147.12 = 77.62/x
  3. Step 3: Cross multiply
    106.78x = 147.12 × 77.62
  4. Step 4: Simplify right side
    106.78x = 11,419.45
  5. Step 5: Solve for x
    x = 11,419.45/106.78
  6. Step 6: Final answer
    x = 106.94

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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.