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Finding the Fourth Proportional to 133.69, 200.52 and 72.94

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Solution

The fourth proportional to 133.69, 200.52 and 72.94 is: 109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.69 : 200.52 = 72.94 : x
  2. Step 2: Convert to fraction form
    133.69/200.52 = 72.94/x
  3. Step 3: Cross multiply
    133.69x = 200.52 × 72.94
  4. Step 4: Simplify right side
    133.69x = 14,625.93
  5. Step 5: Solve for x
    x = 14,625.93/133.69
  6. Step 6: Final answer
    x = 109.40

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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.