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Finding the Fourth Proportional to 38.52, 57.64 and 34.08

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Solution

The fourth proportional to 38.52, 57.64 and 34.08 is: 51.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.52 : 57.64 = 34.08 : x
  2. Step 2: Convert to fraction form
    38.52/57.64 = 34.08/x
  3. Step 3: Cross multiply
    38.52x = 57.64 × 34.08
  4. Step 4: Simplify right side
    38.52x = 1,964.37
  5. Step 5: Solve for x
    x = 1,964.37/38.52
  6. Step 6: Final answer
    x = 51.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.