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Finding the Fourth Proportional to 133.07, 200.37 and 99.07

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Solution

The fourth proportional to 133.07, 200.37 and 99.07 is: 149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.07 : 200.37 = 99.07 : x
  2. Step 2: Convert to fraction form
    133.07/200.37 = 99.07/x
  3. Step 3: Cross multiply
    133.07x = 200.37 × 99.07
  4. Step 4: Simplify right side
    133.07x = 19,850.66
  5. Step 5: Solve for x
    x = 19,850.66/133.07
  6. Step 6: Final answer
    x = 149.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.