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Finding the Fourth Proportional to 106, 158.92 and 71.78

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Solution

The fourth proportional to 106, 158.92 and 71.78 is: 107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 158.92 = 71.78 : x
  2. Step 2: Convert to fraction form
    106/158.92 = 71.78/x
  3. Step 3: Cross multiply
    106x = 158.92 × 71.78
  4. Step 4: Simplify right side
    106x = 11,407.28
  5. Step 5: Solve for x
    x = 11,407.28/106
  6. Step 6: Final answer
    x = 107.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.