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Finding the Fourth Proportional to 34.09, 51.16 and 16.06

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Solution

The fourth proportional to 34.09, 51.16 and 16.06 is: 24.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.09 : 51.16 = 16.06 : x
  2. Step 2: Convert to fraction form
    34.09/51.16 = 16.06/x
  3. Step 3: Cross multiply
    34.09x = 51.16 × 16.06
  4. Step 4: Simplify right side
    34.09x = 821.63
  5. Step 5: Solve for x
    x = 821.63/34.09
  6. Step 6: Final answer
    x = 24.10

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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.