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Finding the Fourth Proportional to 163.10, 244.65 and 102.35

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Solution

The fourth proportional to 163.10, 244.65 and 102.35 is: 153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.10 : 244.65 = 102.35 : x
  2. Step 2: Convert to fraction form
    163.10/244.65 = 102.35/x
  3. Step 3: Cross multiply
    163.10x = 244.65 × 102.35
  4. Step 4: Simplify right side
    163.10x = 25,039.93
  5. Step 5: Solve for x
    x = 25,039.93/163.10
  6. Step 6: Final answer
    x = 153.53

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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.