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Finding the Fourth Proportional to 77.16, 115.74 and 54.35

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Solution

The fourth proportional to 77.16, 115.74 and 54.35 is: 81.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.16 : 115.74 = 54.35 : x
  2. Step 2: Convert to fraction form
    77.16/115.74 = 54.35/x
  3. Step 3: Cross multiply
    77.16x = 115.74 × 54.35
  4. Step 4: Simplify right side
    77.16x = 6,289.89
  5. Step 5: Solve for x
    x = 6,289.89/77.16
  6. Step 6: Final answer
    x = 81.52

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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.