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Finding the Fourth Proportional to 67.54, 93.19 and 38.42

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Solution

The fourth proportional to 67.54, 93.19 and 38.42 is: 53.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.54 : 93.19 = 38.42 : x
  2. Step 2: Convert to fraction form
    67.54/93.19 = 38.42/x
  3. Step 3: Cross multiply
    67.54x = 93.19 × 38.42
  4. Step 4: Simplify right side
    67.54x = 3,580.36
  5. Step 5: Solve for x
    x = 3,580.36/67.54
  6. Step 6: Final answer
    x = 53.01

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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.