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Finding the Fourth Proportional to 187.31, 281.03 and 71.76

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Solution

The fourth proportional to 187.31, 281.03 and 71.76 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 281.03 = 71.76 : x
  2. Step 2: Convert to fraction form
    187.31/281.03 = 71.76/x
  3. Step 3: Cross multiply
    187.31x = 281.03 × 71.76
  4. Step 4: Simplify right side
    187.31x = 20,166.35
  5. Step 5: Solve for x
    x = 20,166.35/187.31
  6. Step 6: Final answer
    x = 107.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.