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Finding the Fourth Proportional to 76.74, 115.13 and 54.06

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Solution

The fourth proportional to 76.74, 115.13 and 54.06 is: 81.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.74 : 115.13 = 54.06 : x
  2. Step 2: Convert to fraction form
    76.74/115.13 = 54.06/x
  3. Step 3: Cross multiply
    76.74x = 115.13 × 54.06
  4. Step 4: Simplify right side
    76.74x = 6,223.93
  5. Step 5: Solve for x
    x = 6,223.93/76.74
  6. Step 6: Final answer
    x = 81.10

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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.