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Finding the Fourth Proportional to 21.24, 29.31 and 13.47

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Solution

The fourth proportional to 21.24, 29.31 and 13.47 is: 18.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.24 : 29.31 = 13.47 : x
  2. Step 2: Convert to fraction form
    21.24/29.31 = 13.47/x
  3. Step 3: Cross multiply
    21.24x = 29.31 × 13.47
  4. Step 4: Simplify right side
    21.24x = 394.81
  5. Step 5: Solve for x
    x = 394.81/21.24
  6. Step 6: Final answer
    x = 18.59

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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.