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Finding the Fourth Proportional to 109.50, 150.96 and 84.90

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Solution

The fourth proportional to 109.50, 150.96 and 84.90 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 150.96 = 84.90 : x
  2. Step 2: Convert to fraction form
    109.50/150.96 = 84.90/x
  3. Step 3: Cross multiply
    109.50x = 150.96 × 84.90
  4. Step 4: Simplify right side
    109.50x = 12,816.50
  5. Step 5: Solve for x
    x = 12,816.50/109.50
  6. Step 6: Final answer
    x = 117.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.