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Finding the Fourth Proportional to 38.91, 53.68 and 24.15

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Solution

The fourth proportional to 38.91, 53.68 and 24.15 is: 33.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.91 : 53.68 = 24.15 : x
  2. Step 2: Convert to fraction form
    38.91/53.68 = 24.15/x
  3. Step 3: Cross multiply
    38.91x = 53.68 × 24.15
  4. Step 4: Simplify right side
    38.91x = 1,296.37
  5. Step 5: Solve for x
    x = 1,296.37/38.91
  6. Step 6: Final answer
    x = 33.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.