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Finding the Fourth Proportional to 185.31, 277.96 and 77.03

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Solution

The fourth proportional to 185.31, 277.96 and 77.03 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.31 : 277.96 = 77.03 : x
  2. Step 2: Convert to fraction form
    185.31/277.96 = 77.03/x
  3. Step 3: Cross multiply
    185.31x = 277.96 × 77.03
  4. Step 4: Simplify right side
    185.31x = 21,411.26
  5. Step 5: Solve for x
    x = 21,411.26/185.31
  6. Step 6: Final answer
    x = 115.54

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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.