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Finding the Fourth Proportional to 82.84, 114.32 and 51.76

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Solution

The fourth proportional to 82.84, 114.32 and 51.76 is: 71.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.84 : 114.32 = 51.76 : x
  2. Step 2: Convert to fraction form
    82.84/114.32 = 51.76/x
  3. Step 3: Cross multiply
    82.84x = 114.32 × 51.76
  4. Step 4: Simplify right side
    82.84x = 5,917.20
  5. Step 5: Solve for x
    x = 5,917.20/82.84
  6. Step 6: Final answer
    x = 71.43

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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.