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Finding the Fourth Proportional to 133.93, 200.84 and 93.02

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Solution

The fourth proportional to 133.93, 200.84 and 93.02 is: 139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.93 : 200.84 = 93.02 : x
  2. Step 2: Convert to fraction form
    133.93/200.84 = 93.02/x
  3. Step 3: Cross multiply
    133.93x = 200.84 × 93.02
  4. Step 4: Simplify right side
    133.93x = 18,682.14
  5. Step 5: Solve for x
    x = 18,682.14/133.93
  6. Step 6: Final answer
    x = 139.49

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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.