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Finding the Fourth Proportional to 76.78, 106.08 and 54.91

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Solution

The fourth proportional to 76.78, 106.08 and 54.91 is: 75.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 106.08 = 54.91 : x
  2. Step 2: Convert to fraction form
    76.78/106.08 = 54.91/x
  3. Step 3: Cross multiply
    76.78x = 106.08 × 54.91
  4. Step 4: Simplify right side
    76.78x = 5,824.78
  5. Step 5: Solve for x
    x = 5,824.78/76.78
  6. Step 6: Final answer
    x = 75.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.