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Finding the Fourth Proportional to 27.42, 37.80 and 21.27

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Solution

The fourth proportional to 27.42, 37.80 and 21.27 is: 29.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 37.80 = 21.27 : x
  2. Step 2: Convert to fraction form
    27.42/37.80 = 21.27/x
  3. Step 3: Cross multiply
    27.42x = 37.80 × 21.27
  4. Step 4: Simplify right side
    27.42x = 804.01
  5. Step 5: Solve for x
    x = 804.01/27.42
  6. Step 6: Final answer
    x = 29.32

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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.