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Finding the Fourth Proportional to 281.39, 422.07 and 89

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Solution

The fourth proportional to 281.39, 422.07 and 89 is: 133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.39 : 422.07 = 89 : x
  2. Step 2: Convert to fraction form
    281.39/422.07 = 89/x
  3. Step 3: Cross multiply
    281.39x = 422.07 × 89
  4. Step 4: Simplify right side
    281.39x = 37,564.23
  5. Step 5: Solve for x
    x = 37,564.23/281.39
  6. Step 6: Final answer
    x = 133.50

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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.