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Finding the Fourth Proportional to 29.66, 44.48 and 13.63

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Solution

The fourth proportional to 29.66, 44.48 and 13.63 is: 20.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.66 : 44.48 = 13.63 : x
  2. Step 2: Convert to fraction form
    29.66/44.48 = 13.63/x
  3. Step 3: Cross multiply
    29.66x = 44.48 × 13.63
  4. Step 4: Simplify right side
    29.66x = 606.04
  5. Step 5: Solve for x
    x = 606.04/29.66
  6. Step 6: Final answer
    x = 20.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.