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Finding the Fourth Proportional to 34.06, 51.07 and 16

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Solution

The fourth proportional to 34.06, 51.07 and 16 is: 23.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.06 : 51.07 = 16 : x
  2. Step 2: Convert to fraction form
    34.06/51.07 = 16/x
  3. Step 3: Cross multiply
    34.06x = 51.07 × 16
  4. Step 4: Simplify right side
    34.06x = 817.12
  5. Step 5: Solve for x
    x = 817.12/34.06
  6. Step 6: Final answer
    x = 23.99

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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.