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Finding the Fourth Proportional to 23.07, 31.80 and 16.17

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Solution

The fourth proportional to 23.07, 31.80 and 16.17 is: 22.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.07 : 31.80 = 16.17 : x
  2. Step 2: Convert to fraction form
    23.07/31.80 = 16.17/x
  3. Step 3: Cross multiply
    23.07x = 31.80 × 16.17
  4. Step 4: Simplify right side
    23.07x = 514.21
  5. Step 5: Solve for x
    x = 514.21/23.07
  6. Step 6: Final answer
    x = 22.29

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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.