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Finding the Fourth Proportional to 133.11, 199.27 and 99.02

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Solution

The fourth proportional to 133.11, 199.27 and 99.02 is: 148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.11 : 199.27 = 99.02 : x
  2. Step 2: Convert to fraction form
    133.11/199.27 = 99.02/x
  3. Step 3: Cross multiply
    133.11x = 199.27 × 99.02
  4. Step 4: Simplify right side
    133.11x = 19,731.97
  5. Step 5: Solve for x
    x = 19,731.97/133.11
  6. Step 6: Final answer
    x = 148.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.