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Finding the Fourth Proportional to 135.80, 203.42 and 63.72

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Solution

The fourth proportional to 135.80, 203.42 and 63.72 is: 95.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.80 : 203.42 = 63.72 : x
  2. Step 2: Convert to fraction form
    135.80/203.42 = 63.72/x
  3. Step 3: Cross multiply
    135.80x = 203.42 × 63.72
  4. Step 4: Simplify right side
    135.80x = 12,961.92
  5. Step 5: Solve for x
    x = 12,961.92/135.80
  6. Step 6: Final answer
    x = 95.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.