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Finding the Fourth Proportional to 281.17, 421.71 and 75.74

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Solution

The fourth proportional to 281.17, 421.71 and 75.74 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.17 : 421.71 = 75.74 : x
  2. Step 2: Convert to fraction form
    281.17/421.71 = 75.74/x
  3. Step 3: Cross multiply
    281.17x = 421.71 × 75.74
  4. Step 4: Simplify right side
    281.17x = 31,937.92
  5. Step 5: Solve for x
    x = 31,937.92/281.17
  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.