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Finding the Fourth Proportional to 27.12, 37.48 and 17.93

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Solution

The fourth proportional to 27.12, 37.48 and 17.93 is: 24.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.12 : 37.48 = 17.93 : x
  2. Step 2: Convert to fraction form
    27.12/37.48 = 17.93/x
  3. Step 3: Cross multiply
    27.12x = 37.48 × 17.93
  4. Step 4: Simplify right side
    27.12x = 672.02
  5. Step 5: Solve for x
    x = 672.02/27.12
  6. Step 6: Final answer
    x = 24.78

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