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Finding the Fourth Proportional to 29.84, 44.79 and 13.82

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Solution

The fourth proportional to 29.84, 44.79 and 13.82 is: 20.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.84 : 44.79 = 13.82 : x
  2. Step 2: Convert to fraction form
    29.84/44.79 = 13.82/x
  3. Step 3: Cross multiply
    29.84x = 44.79 × 13.82
  4. Step 4: Simplify right side
    29.84x = 619.00
  5. Step 5: Solve for x
    x = 619.00/29.84
  6. Step 6: Final answer
    x = 20.74

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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.