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Finding the Fourth Proportional to 107.25, 160.80 and 37.82

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Solution

The fourth proportional to 107.25, 160.80 and 37.82 is: 56.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.25 : 160.80 = 37.82 : x
  2. Step 2: Convert to fraction form
    107.25/160.80 = 37.82/x
  3. Step 3: Cross multiply
    107.25x = 160.80 × 37.82
  4. Step 4: Simplify right side
    107.25x = 6,081.46
  5. Step 5: Solve for x
    x = 6,081.46/107.25
  6. Step 6: Final answer
    x = 56.70

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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.