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Finding the Fourth Proportional to 38.64, 53.34 and 24.09

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Solution

The fourth proportional to 38.64, 53.34 and 24.09 is: 33.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.64 : 53.34 = 24.09 : x
  2. Step 2: Convert to fraction form
    38.64/53.34 = 24.09/x
  3. Step 3: Cross multiply
    38.64x = 53.34 × 24.09
  4. Step 4: Simplify right side
    38.64x = 1,284.96
  5. Step 5: Solve for x
    x = 1,284.96/38.64
  6. Step 6: Final answer
    x = 33.25

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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.