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Finding the Fourth Proportional to 82.70, 114.23 and 57.76

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Solution

The fourth proportional to 82.70, 114.23 and 57.76 is: 79.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.70 : 114.23 = 57.76 : x
  2. Step 2: Convert to fraction form
    82.70/114.23 = 57.76/x
  3. Step 3: Cross multiply
    82.70x = 114.23 × 57.76
  4. Step 4: Simplify right side
    82.70x = 6,598.10
  5. Step 5: Solve for x
    x = 6,598.10/82.70
  6. Step 6: Final answer
    x = 79.78

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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.