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Finding the Fourth Proportional to 135.42, 203.13 and 71.22

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Solution

The fourth proportional to 135.42, 203.13 and 71.22 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 203.13 = 71.22 : x
  2. Step 2: Convert to fraction form
    135.42/203.13 = 71.22/x
  3. Step 3: Cross multiply
    135.42x = 203.13 × 71.22
  4. Step 4: Simplify right side
    135.42x = 14,466.92
  5. Step 5: Solve for x
    x = 14,466.92/135.42
  6. Step 6: Final answer
    x = 106.83

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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.