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Finding the Fourth Proportional to 39.68, 59.52 and 27.72

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Solution

The fourth proportional to 39.68, 59.52 and 27.72 is: 41.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.68 : 59.52 = 27.72 : x
  2. Step 2: Convert to fraction form
    39.68/59.52 = 27.72/x
  3. Step 3: Cross multiply
    39.68x = 59.52 × 27.72
  4. Step 4: Simplify right side
    39.68x = 1,649.89
  5. Step 5: Solve for x
    x = 1,649.89/39.68
  6. Step 6: Final answer
    x = 41.58

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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.