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Finding the Fourth Proportional to 38.05, 57.24 and 32.00

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Solution

The fourth proportional to 38.05, 57.24 and 32.00 is: 48.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.05 : 57.24 = 32.00 : x
  2. Step 2: Convert to fraction form
    38.05/57.24 = 32.00/x
  3. Step 3: Cross multiply
    38.05x = 57.24 × 32.00
  4. Step 4: Simplify right side
    38.05x = 1,831.39
  5. Step 5: Solve for x
    x = 1,831.39/38.05
  6. Step 6: Final answer
    x = 48.13

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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.