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Finding the Fourth Proportional to 121.91, 182.81 and 52.50

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Solution

The fourth proportional to 121.91, 182.81 and 52.50 is: 78.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.91 : 182.81 = 52.50 : x
  2. Step 2: Convert to fraction form
    121.91/182.81 = 52.50/x
  3. Step 3: Cross multiply
    121.91x = 182.81 × 52.50
  4. Step 4: Simplify right side
    121.91x = 9,597.02
  5. Step 5: Solve for x
    x = 9,597.02/121.91
  6. Step 6: Final answer
    x = 78.73

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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.