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Finding the Fourth Proportional to 109.56, 151.38 and 99.96

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Solution

The fourth proportional to 109.56, 151.38 and 99.96 is: 138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.56 : 151.38 = 99.96 : x
  2. Step 2: Convert to fraction form
    109.56/151.38 = 99.96/x
  3. Step 3: Cross multiply
    109.56x = 151.38 × 99.96
  4. Step 4: Simplify right side
    109.56x = 15,131.94
  5. Step 5: Solve for x
    x = 15,131.94/109.56
  6. Step 6: Final answer
    x = 138.12

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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.