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Finding the Fourth Proportional to 39.68, 59.50 and 22.56

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Solution

The fourth proportional to 39.68, 59.50 and 22.56 is: 33.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.68 : 59.50 = 22.56 : x
  2. Step 2: Convert to fraction form
    39.68/59.50 = 22.56/x
  3. Step 3: Cross multiply
    39.68x = 59.50 × 22.56
  4. Step 4: Simplify right side
    39.68x = 1,342.32
  5. Step 5: Solve for x
    x = 1,342.32/39.68
  6. Step 6: Final answer
    x = 33.83

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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.