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Finding the Fourth Proportional to 27.29, 37.62 and 18.07

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Solution

The fourth proportional to 27.29, 37.62 and 18.07 is: 24.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.29 : 37.62 = 18.07 : x
  2. Step 2: Convert to fraction form
    27.29/37.62 = 18.07/x
  3. Step 3: Cross multiply
    27.29x = 37.62 × 18.07
  4. Step 4: Simplify right side
    27.29x = 679.70
  5. Step 5: Solve for x
    x = 679.70/27.29
  6. Step 6: Final answer
    x = 24.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.