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Finding the Fourth Proportional to 29.72, 41.02 and 16.79

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Solution

The fourth proportional to 29.72, 41.02 and 16.79 is: 23.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.72 : 41.02 = 16.79 : x
  2. Step 2: Convert to fraction form
    29.72/41.02 = 16.79/x
  3. Step 3: Cross multiply
    29.72x = 41.02 × 16.79
  4. Step 4: Simplify right side
    29.72x = 688.48
  5. Step 5: Solve for x
    x = 688.48/29.72
  6. Step 6: Final answer
    x = 23.16

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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.