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Finding the Fourth Proportional to 109.84, 163.78 and 102.96

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Solution

The fourth proportional to 109.84, 163.78 and 102.96 is: 153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 163.78 = 102.96 : x
  2. Step 2: Convert to fraction form
    109.84/163.78 = 102.96/x
  3. Step 3: Cross multiply
    109.84x = 163.78 × 102.96
  4. Step 4: Simplify right side
    109.84x = 16,862.79
  5. Step 5: Solve for x
    x = 16,862.79/109.84
  6. Step 6: Final answer
    x = 153.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.