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Finding the Fourth Proportional to 187.45, 281.08 and 71.93

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Solution

The fourth proportional to 187.45, 281.08 and 71.93 is: 107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.45 : 281.08 = 71.93 : x
  2. Step 2: Convert to fraction form
    187.45/281.08 = 71.93/x
  3. Step 3: Cross multiply
    187.45x = 281.08 × 71.93
  4. Step 4: Simplify right side
    187.45x = 20,218.08
  5. Step 5: Solve for x
    x = 20,218.08/187.45
  6. Step 6: Final answer
    x = 107.86

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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.