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Finding the Fourth Proportional to 82.85, 114.30 and 51.78

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Solution

The fourth proportional to 82.85, 114.30 and 51.78 is: 71.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.85 : 114.30 = 51.78 : x
  2. Step 2: Convert to fraction form
    82.85/114.30 = 51.78/x
  3. Step 3: Cross multiply
    82.85x = 114.30 × 51.78
  4. Step 4: Simplify right side
    82.85x = 5,918.45
  5. Step 5: Solve for x
    x = 5,918.45/82.85
  6. Step 6: Final answer
    x = 71.44

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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.