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Finding the Fourth Proportional to 27.52, 41.22 and 14.02

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Solution

The fourth proportional to 27.52, 41.22 and 14.02 is: 21.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.52 : 41.22 = 14.02 : x
  2. Step 2: Convert to fraction form
    27.52/41.22 = 14.02/x
  3. Step 3: Cross multiply
    27.52x = 41.22 × 14.02
  4. Step 4: Simplify right side
    27.52x = 577.80
  5. Step 5: Solve for x
    x = 577.80/27.52
  6. Step 6: Final answer
    x = 21.00

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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.