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Finding the Fourth Proportional to 79.92, 110.31 and 52.35

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Solution

The fourth proportional to 79.92, 110.31 and 52.35 is: 72.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.92 : 110.31 = 52.35 : x
  2. Step 2: Convert to fraction form
    79.92/110.31 = 52.35/x
  3. Step 3: Cross multiply
    79.92x = 110.31 × 52.35
  4. Step 4: Simplify right side
    79.92x = 5,774.73
  5. Step 5: Solve for x
    x = 5,774.73/79.92
  6. Step 6: Final answer
    x = 72.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.