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Finding the Fourth Proportional to 106.42, 160.18 and 80.88

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Solution

The fourth proportional to 106.42, 160.18 and 80.88 is: 121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.42 : 160.18 = 80.88 : x
  2. Step 2: Convert to fraction form
    106.42/160.18 = 80.88/x
  3. Step 3: Cross multiply
    106.42x = 160.18 × 80.88
  4. Step 4: Simplify right side
    106.42x = 12,955.36
  5. Step 5: Solve for x
    x = 12,955.36/106.42
  6. Step 6: Final answer
    x = 121.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.