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Finding the Fourth Proportional to 221.93, 332.96 and 75.71

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Solution

The fourth proportional to 221.93, 332.96 and 75.71 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.93 : 332.96 = 75.71 : x
  2. Step 2: Convert to fraction form
    221.93/332.96 = 75.71/x
  3. Step 3: Cross multiply
    221.93x = 332.96 × 75.71
  4. Step 4: Simplify right side
    221.93x = 25,209.07
  5. Step 5: Solve for x
    x = 25,209.07/221.93
  6. Step 6: Final answer
    x = 113.59

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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.