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Finding the Fourth Proportional to 135.42, 202.91 and 104.87

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Solution

The fourth proportional to 135.42, 202.91 and 104.87 is: 157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 202.91 = 104.87 : x
  2. Step 2: Convert to fraction form
    135.42/202.91 = 104.87/x
  3. Step 3: Cross multiply
    135.42x = 202.91 × 104.87
  4. Step 4: Simplify right side
    135.42x = 21,277.63
  5. Step 5: Solve for x
    x = 21,277.63/135.42
  6. Step 6: Final answer
    x = 157.12

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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.