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Finding the Fourth Proportional to 27.42, 41.16 and 25.74

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Solution

The fourth proportional to 27.42, 41.16 and 25.74 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 41.16 = 25.74 : x
  2. Step 2: Convert to fraction form
    27.42/41.16 = 25.74/x
  3. Step 3: Cross multiply
    27.42x = 41.16 × 25.74
  4. Step 4: Simplify right side
    27.42x = 1,059.46
  5. Step 5: Solve for x
    x = 1,059.46/27.42
  6. Step 6: Final answer
    x = 38.64

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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.