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Finding the Fourth Proportional to 59.40, 82.51 and 57.69

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Solution

The fourth proportional to 59.40, 82.51 and 57.69 is: 80.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.40 : 82.51 = 57.69 : x
  2. Step 2: Convert to fraction form
    59.40/82.51 = 57.69/x
  3. Step 3: Cross multiply
    59.40x = 82.51 × 57.69
  4. Step 4: Simplify right side
    59.40x = 4,759.86
  5. Step 5: Solve for x
    x = 4,759.86/59.40
  6. Step 6: Final answer
    x = 80.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.