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Finding the Fourth Proportional to 106.80, 160.29 and 106.38

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Solution

The fourth proportional to 106.80, 160.29 and 106.38 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.80 : 160.29 = 106.38 : x
  2. Step 2: Convert to fraction form
    106.80/160.29 = 106.38/x
  3. Step 3: Cross multiply
    106.80x = 160.29 × 106.38
  4. Step 4: Simplify right side
    106.80x = 17,051.65
  5. Step 5: Solve for x
    x = 17,051.65/106.80
  6. Step 6: Final answer
    x = 159.66

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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.