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Finding the Fourth Proportional to 38.84, 53.62 and 24.30

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Solution

The fourth proportional to 38.84, 53.62 and 24.30 is: 33.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.84 : 53.62 = 24.30 : x
  2. Step 2: Convert to fraction form
    38.84/53.62 = 24.30/x
  3. Step 3: Cross multiply
    38.84x = 53.62 × 24.30
  4. Step 4: Simplify right side
    38.84x = 1,302.97
  5. Step 5: Solve for x
    x = 1,302.97/38.84
  6. Step 6: Final answer
    x = 33.55

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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.