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Finding the Fourth Proportional to 106.56, 159.76 and 77.66

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Solution

The fourth proportional to 106.56, 159.76 and 77.66 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 159.76 = 77.66 : x
  2. Step 2: Convert to fraction form
    106.56/159.76 = 77.66/x
  3. Step 3: Cross multiply
    106.56x = 159.76 × 77.66
  4. Step 4: Simplify right side
    106.56x = 12,406.96
  5. Step 5: Solve for x
    x = 12,406.96/106.56
  6. Step 6: Final answer
    x = 116.43

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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.