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Finding the Fourth Proportional to 18.84, 26.00 and 10.22

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Solution

The fourth proportional to 18.84, 26.00 and 10.22 is: 14.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.84 : 26.00 = 10.22 : x
  2. Step 2: Convert to fraction form
    18.84/26.00 = 10.22/x
  3. Step 3: Cross multiply
    18.84x = 26.00 × 10.22
  4. Step 4: Simplify right side
    18.84x = 265.73
  5. Step 5: Solve for x
    x = 265.73/18.84
  6. Step 6: Final answer
    x = 14.10

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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.