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Finding the Fourth Proportional to 29.68, 40.92 and 24.16

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Solution

The fourth proportional to 29.68, 40.92 and 24.16 is: 33.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.68 : 40.92 = 24.16 : x
  2. Step 2: Convert to fraction form
    29.68/40.92 = 24.16/x
  3. Step 3: Cross multiply
    29.68x = 40.92 × 24.16
  4. Step 4: Simplify right side
    29.68x = 988.63
  5. Step 5: Solve for x
    x = 988.63/29.68
  6. Step 6: Final answer
    x = 33.31

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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.