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Finding the Fourth Proportional to 17.50, 24.15 and 10.22

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Solution

The fourth proportional to 17.50, 24.15 and 10.22 is: 14.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.50 : 24.15 = 10.22 : x
  2. Step 2: Convert to fraction form
    17.50/24.15 = 10.22/x
  3. Step 3: Cross multiply
    17.50x = 24.15 × 10.22
  4. Step 4: Simplify right side
    17.50x = 246.81
  5. Step 5: Solve for x
    x = 246.81/17.50
  6. Step 6: Final answer
    x = 14.11

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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.