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Finding the Fourth Proportional to 77.56, 116.29 and 25.49

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Solution

The fourth proportional to 77.56, 116.29 and 25.49 is: 38.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.56 : 116.29 = 25.49 : x
  2. Step 2: Convert to fraction form
    77.56/116.29 = 25.49/x
  3. Step 3: Cross multiply
    77.56x = 116.29 × 25.49
  4. Step 4: Simplify right side
    77.56x = 2,964.23
  5. Step 5: Solve for x
    x = 2,964.23/77.56
  6. Step 6: Final answer
    x = 38.22

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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.