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Finding the Fourth Proportional to 24.30, 33.56 and 19.71

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Solution

The fourth proportional to 24.30, 33.56 and 19.71 is: 27.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.30 : 33.56 = 19.71 : x
  2. Step 2: Convert to fraction form
    24.30/33.56 = 19.71/x
  3. Step 3: Cross multiply
    24.30x = 33.56 × 19.71
  4. Step 4: Simplify right side
    24.30x = 661.45
  5. Step 5: Solve for x
    x = 661.45/24.30
  6. Step 6: Final answer
    x = 27.22

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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.