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Finding the Fourth Proportional to 109.31, 150.68 and 96.99

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Solution

The fourth proportional to 109.31, 150.68 and 96.99 is: 133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.31 : 150.68 = 96.99 : x
  2. Step 2: Convert to fraction form
    109.31/150.68 = 96.99/x
  3. Step 3: Cross multiply
    109.31x = 150.68 × 96.99
  4. Step 4: Simplify right side
    109.31x = 14,613.97
  5. Step 5: Solve for x
    x = 14,613.97/109.31
  6. Step 6: Final answer
    x = 133.70

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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.