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Finding the Fourth Proportional to 163.36, 244.88 and 77.84

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Solution

The fourth proportional to 163.36, 244.88 and 77.84 is: 116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.36 : 244.88 = 77.84 : x
  2. Step 2: Convert to fraction form
    163.36/244.88 = 77.84/x
  3. Step 3: Cross multiply
    163.36x = 244.88 × 77.84
  4. Step 4: Simplify right side
    163.36x = 19,061.46
  5. Step 5: Solve for x
    x = 19,061.46/163.36
  6. Step 6: Final answer
    x = 116.68

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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.