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Finding the Fourth Proportional to 106.83, 160.12 and 49.04

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Solution

The fourth proportional to 106.83, 160.12 and 49.04 is: 73.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.83 : 160.12 = 49.04 : x
  2. Step 2: Convert to fraction form
    106.83/160.12 = 49.04/x
  3. Step 3: Cross multiply
    106.83x = 160.12 × 49.04
  4. Step 4: Simplify right side
    106.83x = 7,851.87
  5. Step 5: Solve for x
    x = 7,851.87/106.83
  6. Step 6: Final answer
    x = 73.50

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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.