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Finding the Fourth Proportional to 52.12, 78.04 and 31.80

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Solution

The fourth proportional to 52.12, 78.04 and 31.80 is: 47.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 78.04 = 31.80 : x
  2. Step 2: Convert to fraction form
    52.12/78.04 = 31.80/x
  3. Step 3: Cross multiply
    52.12x = 78.04 × 31.80
  4. Step 4: Simplify right side
    52.12x = 2,481.67
  5. Step 5: Solve for x
    x = 2,481.67/52.12
  6. Step 6: Final answer
    x = 47.61

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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.