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Finding the Fourth Proportional to 82.78, 114.24 and 45.95

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Solution

The fourth proportional to 82.78, 114.24 and 45.95 is: 63.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.78 : 114.24 = 45.95 : x
  2. Step 2: Convert to fraction form
    82.78/114.24 = 45.95/x
  3. Step 3: Cross multiply
    82.78x = 114.24 × 45.95
  4. Step 4: Simplify right side
    82.78x = 5,249.35
  5. Step 5: Solve for x
    x = 5,249.35/82.78
  6. Step 6: Final answer
    x = 63.41

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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.