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Finding the Fourth Proportional to 42.82, 64.23 and 39.79

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Solution

The fourth proportional to 42.82, 64.23 and 39.79 is: 59.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.82 : 64.23 = 39.79 : x
  2. Step 2: Convert to fraction form
    42.82/64.23 = 39.79/x
  3. Step 3: Cross multiply
    42.82x = 64.23 × 39.79
  4. Step 4: Simplify right side
    42.82x = 2,555.71
  5. Step 5: Solve for x
    x = 2,555.71/42.82
  6. Step 6: Final answer
    x = 59.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.