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Finding the Fourth Proportional to 163.11, 244.29 and 102.15

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Solution

The fourth proportional to 163.11, 244.29 and 102.15 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.11 : 244.29 = 102.15 : x
  2. Step 2: Convert to fraction form
    163.11/244.29 = 102.15/x
  3. Step 3: Cross multiply
    163.11x = 244.29 × 102.15
  4. Step 4: Simplify right side
    163.11x = 24,954.22
  5. Step 5: Solve for x
    x = 24,954.22/163.11
  6. Step 6: Final answer
    x = 152.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.