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Finding the Fourth Proportional to 106.89, 160.43 and 52.85

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Solution

The fourth proportional to 106.89, 160.43 and 52.85 is: 79.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.89 : 160.43 = 52.85 : x
  2. Step 2: Convert to fraction form
    106.89/160.43 = 52.85/x
  3. Step 3: Cross multiply
    106.89x = 160.43 × 52.85
  4. Step 4: Simplify right side
    106.89x = 8,477.66
  5. Step 5: Solve for x
    x = 8,477.66/106.89
  6. Step 6: Final answer
    x = 79.31

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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.