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Finding the Fourth Proportional to 22.78, 31.49 and 16.35

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Solution

The fourth proportional to 22.78, 31.49 and 16.35 is: 22.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 31.49 = 16.35 : x
  2. Step 2: Convert to fraction form
    22.78/31.49 = 16.35/x
  3. Step 3: Cross multiply
    22.78x = 31.49 × 16.35
  4. Step 4: Simplify right side
    22.78x = 514.86
  5. Step 5: Solve for x
    x = 514.86/22.78
  6. Step 6: Final answer
    x = 22.60

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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.