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Finding the Fourth Proportional to 106.73, 160.19 and 52.66

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Solution

The fourth proportional to 106.73, 160.19 and 52.66 is: 79.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.73 : 160.19 = 52.66 : x
  2. Step 2: Convert to fraction form
    106.73/160.19 = 52.66/x
  3. Step 3: Cross multiply
    106.73x = 160.19 × 52.66
  4. Step 4: Simplify right side
    106.73x = 8,435.61
  5. Step 5: Solve for x
    x = 8,435.61/106.73
  6. Step 6: Final answer
    x = 79.04

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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.