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Finding the Fourth Proportional to 133.57, 200.12 and 82.10

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Solution

The fourth proportional to 133.57, 200.12 and 82.10 is: 123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.57 : 200.12 = 82.10 : x
  2. Step 2: Convert to fraction form
    133.57/200.12 = 82.10/x
  3. Step 3: Cross multiply
    133.57x = 200.12 × 82.10
  4. Step 4: Simplify right side
    133.57x = 16,430.06
  5. Step 5: Solve for x
    x = 16,430.06/133.57
  6. Step 6: Final answer
    x = 123.01

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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.