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Finding the Fourth Proportional to 109.53, 150.99 and 97.83

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Solution

The fourth proportional to 109.53, 150.99 and 97.83 is: 134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.53 : 150.99 = 97.83 : x
  2. Step 2: Convert to fraction form
    109.53/150.99 = 97.83/x
  3. Step 3: Cross multiply
    109.53x = 150.99 × 97.83
  4. Step 4: Simplify right side
    109.53x = 14,771.68
  5. Step 5: Solve for x
    x = 14,771.68/109.53
  6. Step 6: Final answer
    x = 134.87

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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.