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Finding the Fourth Proportional to 99.09, 135.90 and 96.12

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Solution

The fourth proportional to 99.09, 135.90 and 96.12 is: 131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.09 : 135.90 = 96.12 : x
  2. Step 2: Convert to fraction form
    99.09/135.90 = 96.12/x
  3. Step 3: Cross multiply
    99.09x = 135.90 × 96.12
  4. Step 4: Simplify right side
    99.09x = 13,062.71
  5. Step 5: Solve for x
    x = 13,062.71/99.09
  6. Step 6: Final answer
    x = 131.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.