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Finding the Fourth Proportional to 135.62, 203.26 and 66.16

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Solution

The fourth proportional to 135.62, 203.26 and 66.16 is: 99.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.62 : 203.26 = 66.16 : x
  2. Step 2: Convert to fraction form
    135.62/203.26 = 66.16/x
  3. Step 3: Cross multiply
    135.62x = 203.26 × 66.16
  4. Step 4: Simplify right side
    135.62x = 13,447.68
  5. Step 5: Solve for x
    x = 13,447.68/135.62
  6. Step 6: Final answer
    x = 99.16

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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.