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Finding the Fourth Proportional to 106.62, 159.98 and 77.76

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Solution

The fourth proportional to 106.62, 159.98 and 77.76 is: 116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 159.98 = 77.76 : x
  2. Step 2: Convert to fraction form
    106.62/159.98 = 77.76/x
  3. Step 3: Cross multiply
    106.62x = 159.98 × 77.76
  4. Step 4: Simplify right side
    106.62x = 12,440.04
  5. Step 5: Solve for x
    x = 12,440.04/106.62
  6. Step 6: Final answer
    x = 116.68

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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.