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Finding the Fourth Proportional to 22.75, 31.40 and 13.05

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Solution

The fourth proportional to 22.75, 31.40 and 13.05 is: 18.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 31.40 = 13.05 : x
  2. Step 2: Convert to fraction form
    22.75/31.40 = 13.05/x
  3. Step 3: Cross multiply
    22.75x = 31.40 × 13.05
  4. Step 4: Simplify right side
    22.75x = 409.70
  5. Step 5: Solve for x
    x = 409.70/22.75
  6. Step 6: Final answer
    x = 18.01

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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.