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Finding the Fourth Proportional to 79.92, 119.88 and 37.08

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Solution

The fourth proportional to 79.92, 119.88 and 37.08 is: 55.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.92 : 119.88 = 37.08 : x
  2. Step 2: Convert to fraction form
    79.92/119.88 = 37.08/x
  3. Step 3: Cross multiply
    79.92x = 119.88 × 37.08
  4. Step 4: Simplify right side
    79.92x = 4,445.15
  5. Step 5: Solve for x
    x = 4,445.15/79.92
  6. Step 6: Final answer
    x = 55.62

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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.