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Finding the Fourth Proportional to 133.84, 200.79 and 63.53

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Solution

The fourth proportional to 133.84, 200.79 and 63.53 is: 95.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.84 : 200.79 = 63.53 : x
  2. Step 2: Convert to fraction form
    133.84/200.79 = 63.53/x
  3. Step 3: Cross multiply
    133.84x = 200.79 × 63.53
  4. Step 4: Simplify right side
    133.84x = 12,756.72
  5. Step 5: Solve for x
    x = 12,756.72/133.84
  6. Step 6: Final answer
    x = 95.32

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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.