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Finding the Fourth Proportional to 24.69, 34.07 and 16.07

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Solution

The fourth proportional to 24.69, 34.07 and 16.07 is: 22.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.69 : 34.07 = 16.07 : x
  2. Step 2: Convert to fraction form
    24.69/34.07 = 16.07/x
  3. Step 3: Cross multiply
    24.69x = 34.07 × 16.07
  4. Step 4: Simplify right side
    24.69x = 547.42
  5. Step 5: Solve for x
    x = 547.42/24.69
  6. Step 6: Final answer
    x = 22.17

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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.