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Finding the Fourth Proportional to 27.27, 37.65 and 24.57

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Solution

The fourth proportional to 27.27, 37.65 and 24.57 is: 33.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.27 : 37.65 = 24.57 : x
  2. Step 2: Convert to fraction form
    27.27/37.65 = 24.57/x
  3. Step 3: Cross multiply
    27.27x = 37.65 × 24.57
  4. Step 4: Simplify right side
    27.27x = 925.06
  5. Step 5: Solve for x
    x = 925.06/27.27
  6. Step 6: Final answer
    x = 33.92

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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.