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Finding the Fourth Proportional to 133.77, 200.57 and 65.24

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Solution

The fourth proportional to 133.77, 200.57 and 65.24 is: 97.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.77 : 200.57 = 65.24 : x
  2. Step 2: Convert to fraction form
    133.77/200.57 = 65.24/x
  3. Step 3: Cross multiply
    133.77x = 200.57 × 65.24
  4. Step 4: Simplify right side
    133.77x = 13,083.86
  5. Step 5: Solve for x
    x = 13,083.86/133.77
  6. Step 6: Final answer
    x = 97.81

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Why These Related Problems?

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