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Finding the Fourth Proportional to 133.69, 200.54 and 52.53

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Solution

The fourth proportional to 133.69, 200.54 and 52.53 is: 78.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.69 : 200.54 = 52.53 : x
  2. Step 2: Convert to fraction form
    133.69/200.54 = 52.53/x
  3. Step 3: Cross multiply
    133.69x = 200.54 × 52.53
  4. Step 4: Simplify right side
    133.69x = 10,534.37
  5. Step 5: Solve for x
    x = 10,534.37/133.69
  6. Step 6: Final answer
    x = 78.80

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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.