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Finding the Fourth Proportional to 281.52, 422.30 and 76.07

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Solution

The fourth proportional to 281.52, 422.30 and 76.07 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.52 : 422.30 = 76.07 : x
  2. Step 2: Convert to fraction form
    281.52/422.30 = 76.07/x
  3. Step 3: Cross multiply
    281.52x = 422.30 × 76.07
  4. Step 4: Simplify right side
    281.52x = 32,123.98
  5. Step 5: Solve for x
    x = 32,123.98/281.52
  6. Step 6: Final answer
    x = 114.11

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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.