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Finding the Fourth Proportional to 27, 37.28 and 19.23

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Solution

The fourth proportional to 27, 37.28 and 19.23 is: 26.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 37.28 = 19.23 : x
  2. Step 2: Convert to fraction form
    27/37.28 = 19.23/x
  3. Step 3: Cross multiply
    27x = 37.28 × 19.23
  4. Step 4: Simplify right side
    27x = 716.80
  5. Step 5: Solve for x
    x = 716.80/27
  6. Step 6: Final answer
    x = 26.55

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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.