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Finding the Fourth Proportional to 109.96, 152.80 and 108.84

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Solution

The fourth proportional to 109.96, 152.80 and 108.84 is: 151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 152.80 = 108.84 : x
  2. Step 2: Convert to fraction form
    109.96/152.80 = 108.84/x
  3. Step 3: Cross multiply
    109.96x = 152.80 × 108.84
  4. Step 4: Simplify right side
    109.96x = 16,630.75
  5. Step 5: Solve for x
    x = 16,630.75/109.96
  6. Step 6: Final answer
    x = 151.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.