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Finding the Fourth Proportional to 133.74, 200.46 and 65.23

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Solution

The fourth proportional to 133.74, 200.46 and 65.23 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.74 : 200.46 = 65.23 : x
  2. Step 2: Convert to fraction form
    133.74/200.46 = 65.23/x
  3. Step 3: Cross multiply
    133.74x = 200.46 × 65.23
  4. Step 4: Simplify right side
    133.74x = 13,076.01
  5. Step 5: Solve for x
    x = 13,076.01/133.74
  6. Step 6: Final answer
    x = 97.77

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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.