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Finding the Fourth Proportional to 106.65, 160.04 and 45.80

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Solution

The fourth proportional to 106.65, 160.04 and 45.80 is: 68.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 160.04 = 45.80 : x
  2. Step 2: Convert to fraction form
    106.65/160.04 = 45.80/x
  3. Step 3: Cross multiply
    106.65x = 160.04 × 45.80
  4. Step 4: Simplify right side
    106.65x = 7,329.75
  5. Step 5: Solve for x
    x = 7,329.75/106.65
  6. Step 6: Final answer
    x = 68.73

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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.