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Finding the Fourth Proportional to 29.88, 44.86 and 24.47

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Solution

The fourth proportional to 29.88, 44.86 and 24.47 is: 36.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.88 : 44.86 = 24.47 : x
  2. Step 2: Convert to fraction form
    29.88/44.86 = 24.47/x
  3. Step 3: Cross multiply
    29.88x = 44.86 × 24.47
  4. Step 4: Simplify right side
    29.88x = 1,097.72
  5. Step 5: Solve for x
    x = 1,097.72/29.88
  6. Step 6: Final answer
    x = 36.74

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Why These Related Problems?

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