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Finding the Fourth Proportional to 133.54, 199.70 and 99.33

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Solution

The fourth proportional to 133.54, 199.70 and 99.33 is: 148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.54 : 199.70 = 99.33 : x
  2. Step 2: Convert to fraction form
    133.54/199.70 = 99.33/x
  3. Step 3: Cross multiply
    133.54x = 199.70 × 99.33
  4. Step 4: Simplify right side
    133.54x = 19,834.71
  5. Step 5: Solve for x
    x = 19,834.71/133.54
  6. Step 6: Final answer
    x = 148.53

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