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Finding the Fourth Proportional to 106.89, 160.45 and 49.14

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Solution

The fourth proportional to 106.89, 160.45 and 49.14 is: 73.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.89 : 160.45 = 49.14 : x
  2. Step 2: Convert to fraction form
    106.89/160.45 = 49.14/x
  3. Step 3: Cross multiply
    106.89x = 160.45 × 49.14
  4. Step 4: Simplify right side
    106.89x = 7,884.39
  5. Step 5: Solve for x
    x = 7,884.39/106.89
  6. Step 6: Final answer
    x = 73.76

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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.