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Finding the Fourth Proportional to 133.33, 200.18 and 102.06

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Solution

The fourth proportional to 133.33, 200.18 and 102.06 is: 153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.33 : 200.18 = 102.06 : x
  2. Step 2: Convert to fraction form
    133.33/200.18 = 102.06/x
  3. Step 3: Cross multiply
    133.33x = 200.18 × 102.06
  4. Step 4: Simplify right side
    133.33x = 20,430.37
  5. Step 5: Solve for x
    x = 20,430.37/133.33
  6. Step 6: Final answer
    x = 153.23

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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.