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Finding the Fourth Proportional to 23.06, 31.80 and 16.16

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Solution

The fourth proportional to 23.06, 31.80 and 16.16 is: 22.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.06 : 31.80 = 16.16 : x
  2. Step 2: Convert to fraction form
    23.06/31.80 = 16.16/x
  3. Step 3: Cross multiply
    23.06x = 31.80 × 16.16
  4. Step 4: Simplify right side
    23.06x = 513.89
  5. Step 5: Solve for x
    x = 513.89/23.06
  6. Step 6: Final answer
    x = 22.28

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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.