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Finding the Fourth Proportional to 27.34, 41.20 and 24.64

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Solution

The fourth proportional to 27.34, 41.20 and 24.64 is: 37.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.34 : 41.20 = 24.64 : x
  2. Step 2: Convert to fraction form
    27.34/41.20 = 24.64/x
  3. Step 3: Cross multiply
    27.34x = 41.20 × 24.64
  4. Step 4: Simplify right side
    27.34x = 1,015.17
  5. Step 5: Solve for x
    x = 1,015.17/27.34
  6. Step 6: Final answer
    x = 37.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.