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Finding the Fourth Proportional to 38.14, 52.53 and 35.11

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Solution

The fourth proportional to 38.14, 52.53 and 35.11 is: 48.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.14 : 52.53 = 35.11 : x
  2. Step 2: Convert to fraction form
    38.14/52.53 = 35.11/x
  3. Step 3: Cross multiply
    38.14x = 52.53 × 35.11
  4. Step 4: Simplify right side
    38.14x = 1,844.33
  5. Step 5: Solve for x
    x = 1,844.33/38.14
  6. Step 6: Final answer
    x = 48.36

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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.