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Finding the Fourth Proportional to 47.29, 70.97 and 20.24

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Solution

The fourth proportional to 47.29, 70.97 and 20.24 is: 30.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.29 : 70.97 = 20.24 : x
  2. Step 2: Convert to fraction form
    47.29/70.97 = 20.24/x
  3. Step 3: Cross multiply
    47.29x = 70.97 × 20.24
  4. Step 4: Simplify right side
    47.29x = 1,436.51
  5. Step 5: Solve for x
    x = 1,436.51/47.29
  6. Step 6: Final answer
    x = 30.38

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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.