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Finding the Fourth Proportional to 22.93, 31.67 and 16.86

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Solution

The fourth proportional to 22.93, 31.67 and 16.86 is: 23.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.93 : 31.67 = 16.86 : x
  2. Step 2: Convert to fraction form
    22.93/31.67 = 16.86/x
  3. Step 3: Cross multiply
    22.93x = 31.67 × 16.86
  4. Step 4: Simplify right side
    22.93x = 533.83
  5. Step 5: Solve for x
    x = 533.83/22.93
  6. Step 6: Final answer
    x = 23.28

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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.