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Finding the Fourth Proportional to 29.82, 41.16 and 24.96

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Solution

The fourth proportional to 29.82, 41.16 and 24.96 is: 34.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.82 : 41.16 = 24.96 : x
  2. Step 2: Convert to fraction form
    29.82/41.16 = 24.96/x
  3. Step 3: Cross multiply
    29.82x = 41.16 × 24.96
  4. Step 4: Simplify right side
    29.82x = 1,027.35
  5. Step 5: Solve for x
    x = 1,027.35/29.82
  6. Step 6: Final answer
    x = 34.45

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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.