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Finding the Fourth Proportional to 187.47, 281.14 and 89.96

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Solution

The fourth proportional to 187.47, 281.14 and 89.96 is: 134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.47 : 281.14 = 89.96 : x
  2. Step 2: Convert to fraction form
    187.47/281.14 = 89.96/x
  3. Step 3: Cross multiply
    187.47x = 281.14 × 89.96
  4. Step 4: Simplify right side
    187.47x = 25,291.35
  5. Step 5: Solve for x
    x = 25,291.35/187.47
  6. Step 6: Final answer
    x = 134.91

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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.