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Finding the Fourth Proportional to 79.60, 119.32 and 52.19

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Solution

The fourth proportional to 79.60, 119.32 and 52.19 is: 78.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.60 : 119.32 = 52.19 : x
  2. Step 2: Convert to fraction form
    79.60/119.32 = 52.19/x
  3. Step 3: Cross multiply
    79.60x = 119.32 × 52.19
  4. Step 4: Simplify right side
    79.60x = 6,227.05
  5. Step 5: Solve for x
    x = 6,227.05/79.60
  6. Step 6: Final answer
    x = 78.23

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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.