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Finding the Fourth Proportional to 106.85, 160.27 and 38.35

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Solution

The fourth proportional to 106.85, 160.27 and 38.35 is: 57.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.85 : 160.27 = 38.35 : x
  2. Step 2: Convert to fraction form
    106.85/160.27 = 38.35/x
  3. Step 3: Cross multiply
    106.85x = 160.27 × 38.35
  4. Step 4: Simplify right side
    106.85x = 6,146.35
  5. Step 5: Solve for x
    x = 6,146.35/106.85
  6. Step 6: Final answer
    x = 57.52

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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.