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Finding the Fourth Proportional to 81.50, 122.12 and 52.58

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Solution

The fourth proportional to 81.50, 122.12 and 52.58 is: 78.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.50 : 122.12 = 52.58 : x
  2. Step 2: Convert to fraction form
    81.50/122.12 = 52.58/x
  3. Step 3: Cross multiply
    81.50x = 122.12 × 52.58
  4. Step 4: Simplify right side
    81.50x = 6,421.07
  5. Step 5: Solve for x
    x = 6,421.07/81.50
  6. Step 6: Final answer
    x = 78.79

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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.