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Finding the Fourth Proportional to 73.92, 110.72 and 52.20

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Solution

The fourth proportional to 73.92, 110.72 and 52.20 is: 78.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.92 : 110.72 = 52.20 : x
  2. Step 2: Convert to fraction form
    73.92/110.72 = 52.20/x
  3. Step 3: Cross multiply
    73.92x = 110.72 × 52.20
  4. Step 4: Simplify right side
    73.92x = 5,779.58
  5. Step 5: Solve for x
    x = 5,779.58/73.92
  6. Step 6: Final answer
    x = 78.19

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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.