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Finding the Fourth Proportional to 27.46, 41.18 and 13.02

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Solution

The fourth proportional to 27.46, 41.18 and 13.02 is: 19.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.46 : 41.18 = 13.02 : x
  2. Step 2: Convert to fraction form
    27.46/41.18 = 13.02/x
  3. Step 3: Cross multiply
    27.46x = 41.18 × 13.02
  4. Step 4: Simplify right side
    27.46x = 535.94
  5. Step 5: Solve for x
    x = 535.94/27.46
  6. Step 6: Final answer
    x = 19.52

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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.