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Finding the Fourth Proportional to 47.24, 65.07 and 38.06

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Solution

The fourth proportional to 47.24, 65.07 and 38.06 is: 52.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.24 : 65.07 = 38.06 : x
  2. Step 2: Convert to fraction form
    47.24/65.07 = 38.06/x
  3. Step 3: Cross multiply
    47.24x = 65.07 × 38.06
  4. Step 4: Simplify right side
    47.24x = 2,476.24
  5. Step 5: Solve for x
    x = 2,476.24/47.24
  6. Step 6: Final answer
    x = 52.42

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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.