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Finding the Fourth Proportional to 133.04, 199.57 and 68.01

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Solution

The fourth proportional to 133.04, 199.57 and 68.01 is: 102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.04 : 199.57 = 68.01 : x
  2. Step 2: Convert to fraction form
    133.04/199.57 = 68.01/x
  3. Step 3: Cross multiply
    133.04x = 199.57 × 68.01
  4. Step 4: Simplify right side
    133.04x = 13,572.42
  5. Step 5: Solve for x
    x = 13,572.42/133.04
  6. Step 6: Final answer
    x = 102.02

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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.