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Finding the Fourth Proportional to 106.50, 159.80 and 77.65

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Solution

The fourth proportional to 106.50, 159.80 and 77.65 is: 116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 159.80 = 77.65 : x
  2. Step 2: Convert to fraction form
    106.50/159.80 = 77.65/x
  3. Step 3: Cross multiply
    106.50x = 159.80 × 77.65
  4. Step 4: Simplify right side
    106.50x = 12,408.47
  5. Step 5: Solve for x
    x = 12,408.47/106.50
  6. Step 6: Final answer
    x = 116.51

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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.