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Finding the Fourth Proportional to 77.23, 115.72 and 54.30

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Solution

The fourth proportional to 77.23, 115.72 and 54.30 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.23 : 115.72 = 54.30 : x
  2. Step 2: Convert to fraction form
    77.23/115.72 = 54.30/x
  3. Step 3: Cross multiply
    77.23x = 115.72 × 54.30
  4. Step 4: Simplify right side
    77.23x = 6,283.04
  5. Step 5: Solve for x
    x = 6,283.04/77.23
  6. Step 6: Final answer
    x = 81.35

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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.