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Finding the Fourth Proportional to 39.64, 59.57 and 22.54

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Solution

The fourth proportional to 39.64, 59.57 and 22.54 is: 33.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.64 : 59.57 = 22.54 : x
  2. Step 2: Convert to fraction form
    39.64/59.57 = 22.54/x
  3. Step 3: Cross multiply
    39.64x = 59.57 × 22.54
  4. Step 4: Simplify right side
    39.64x = 1,342.71
  5. Step 5: Solve for x
    x = 1,342.71/39.64
  6. Step 6: Final answer
    x = 33.87

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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.