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Finding the Fourth Proportional to 76.55, 105.40 and 62.78

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Solution

The fourth proportional to 76.55, 105.40 and 62.78 is: 86.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.55 : 105.40 = 62.78 : x
  2. Step 2: Convert to fraction form
    76.55/105.40 = 62.78/x
  3. Step 3: Cross multiply
    76.55x = 105.40 × 62.78
  4. Step 4: Simplify right side
    76.55x = 6,616.56
  5. Step 5: Solve for x
    x = 6,616.56/76.55
  6. Step 6: Final answer
    x = 86.44

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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.