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Finding the Fourth Proportional to 27.42, 37.84 and 19.22

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Solution

The fourth proportional to 27.42, 37.84 and 19.22 is: 26.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 37.84 = 19.22 : x
  2. Step 2: Convert to fraction form
    27.42/37.84 = 19.22/x
  3. Step 3: Cross multiply
    27.42x = 37.84 × 19.22
  4. Step 4: Simplify right side
    27.42x = 727.28
  5. Step 5: Solve for x
    x = 727.28/27.42
  6. Step 6: Final answer
    x = 26.52

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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.