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Finding the Fourth Proportional to 22.95, 31.61 and 16.47

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Solution

The fourth proportional to 22.95, 31.61 and 16.47 is: 22.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.95 : 31.61 = 16.47 : x
  2. Step 2: Convert to fraction form
    22.95/31.61 = 16.47/x
  3. Step 3: Cross multiply
    22.95x = 31.61 × 16.47
  4. Step 4: Simplify right side
    22.95x = 520.66
  5. Step 5: Solve for x
    x = 520.66/22.95
  6. Step 6: Final answer
    x = 22.69

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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.