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Finding the Fourth Proportional to 22.91, 31.65 and 16.00

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Solution

The fourth proportional to 22.91, 31.65 and 16.00 is: 22.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.91 : 31.65 = 16.00 : x
  2. Step 2: Convert to fraction form
    22.91/31.65 = 16.00/x
  3. Step 3: Cross multiply
    22.91x = 31.65 × 16.00
  4. Step 4: Simplify right side
    22.91x = 506.32
  5. Step 5: Solve for x
    x = 506.32/22.91
  6. Step 6: Final answer
    x = 22.10

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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.