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Finding the Fourth Proportional to 29.93, 44.78 and 24.21

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Solution

The fourth proportional to 29.93, 44.78 and 24.21 is: 36.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.93 : 44.78 = 24.21 : x
  2. Step 2: Convert to fraction form
    29.93/44.78 = 24.21/x
  3. Step 3: Cross multiply
    29.93x = 44.78 × 24.21
  4. Step 4: Simplify right side
    29.93x = 1,084.00
  5. Step 5: Solve for x
    x = 1,084.00/29.93
  6. Step 6: Final answer
    x = 36.22

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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.