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Finding the Fourth Proportional to 22.79, 31.38 and 17.30

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Solution

The fourth proportional to 22.79, 31.38 and 17.30 is: 23.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.79 : 31.38 = 17.30 : x
  2. Step 2: Convert to fraction form
    22.79/31.38 = 17.30/x
  3. Step 3: Cross multiply
    22.79x = 31.38 × 17.30
  4. Step 4: Simplify right side
    22.79x = 542.87
  5. Step 5: Solve for x
    x = 542.87/22.79
  6. Step 6: Final answer
    x = 23.82

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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.