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Finding the Fourth Proportional to 106.81, 160.02 and 77.90

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Solution

The fourth proportional to 106.81, 160.02 and 77.90 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.81 : 160.02 = 77.90 : x
  2. Step 2: Convert to fraction form
    106.81/160.02 = 77.90/x
  3. Step 3: Cross multiply
    106.81x = 160.02 × 77.90
  4. Step 4: Simplify right side
    106.81x = 12,464.76
  5. Step 5: Solve for x
    x = 12,464.76/106.81
  6. Step 6: Final answer
    x = 116.70

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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.