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Finding the Fourth Proportional to 106.86, 160.21 and 49.12

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Solution

The fourth proportional to 106.86, 160.21 and 49.12 is: 73.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 160.21 = 49.12 : x
  2. Step 2: Convert to fraction form
    106.86/160.21 = 49.12/x
  3. Step 3: Cross multiply
    106.86x = 160.21 × 49.12
  4. Step 4: Simplify right side
    106.86x = 7,869.52
  5. Step 5: Solve for x
    x = 7,869.52/106.86
  6. Step 6: Final answer
    x = 73.64

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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.