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Finding the Fourth Proportional to 29.92, 41.24 and 23.48

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Solution

The fourth proportional to 29.92, 41.24 and 23.48 is: 32.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.92 : 41.24 = 23.48 : x
  2. Step 2: Convert to fraction form
    29.92/41.24 = 23.48/x
  3. Step 3: Cross multiply
    29.92x = 41.24 × 23.48
  4. Step 4: Simplify right side
    29.92x = 968.32
  5. Step 5: Solve for x
    x = 968.32/29.92
  6. Step 6: Final answer
    x = 32.36

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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.