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Finding the Fourth Proportional to 135.57, 203.42 and 67.10

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Solution

The fourth proportional to 135.57, 203.42 and 67.10 is: 100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.57 : 203.42 = 67.10 : x
  2. Step 2: Convert to fraction form
    135.57/203.42 = 67.10/x
  3. Step 3: Cross multiply
    135.57x = 203.42 × 67.10
  4. Step 4: Simplify right side
    135.57x = 13,648.13
  5. Step 5: Solve for x
    x = 13,648.13/135.57
  6. Step 6: Final answer
    x = 100.67

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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.