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Finding the Fourth Proportional to 22.99, 31.64 and 16.84

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Solution

The fourth proportional to 22.99, 31.64 and 16.84 is: 23.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.99 : 31.64 = 16.84 : x
  2. Step 2: Convert to fraction form
    22.99/31.64 = 16.84/x
  3. Step 3: Cross multiply
    22.99x = 31.64 × 16.84
  4. Step 4: Simplify right side
    22.99x = 532.66
  5. Step 5: Solve for x
    x = 532.66/22.99
  6. Step 6: Final answer
    x = 23.17

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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.