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Finding the Fourth Proportional to 187.70, 281.52 and 77.94

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Solution

The fourth proportional to 187.70, 281.52 and 77.94 is: 116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.70 : 281.52 = 77.94 : x
  2. Step 2: Convert to fraction form
    187.70/281.52 = 77.94/x
  3. Step 3: Cross multiply
    187.70x = 281.52 × 77.94
  4. Step 4: Simplify right side
    187.70x = 21,941.67
  5. Step 5: Solve for x
    x = 21,941.67/187.70
  6. Step 6: Final answer
    x = 116.90

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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.