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Finding the Fourth Proportional to 136, 203.86 and 67.42

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Solution

The fourth proportional to 136, 203.86 and 67.42 is: 101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136 : 203.86 = 67.42 : x
  2. Step 2: Convert to fraction form
    136/203.86 = 67.42/x
  3. Step 3: Cross multiply
    136x = 203.86 × 67.42
  4. Step 4: Simplify right side
    136x = 13,744.24
  5. Step 5: Solve for x
    x = 13,744.24/136
  6. Step 6: Final answer
    x = 101.06

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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.