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Finding the Fourth Proportional to 29.85, 44.62 and 24.09

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Solution

The fourth proportional to 29.85, 44.62 and 24.09 is: 36.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.85 : 44.62 = 24.09 : x
  2. Step 2: Convert to fraction form
    29.85/44.62 = 24.09/x
  3. Step 3: Cross multiply
    29.85x = 44.62 × 24.09
  4. Step 4: Simplify right side
    29.85x = 1,074.90
  5. Step 5: Solve for x
    x = 1,074.90/29.85
  6. Step 6: Final answer
    x = 36.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.