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Finding the Fourth Proportional to 135.41, 203.11 and 97.07

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Solution

The fourth proportional to 135.41, 203.11 and 97.07 is: 145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.41 : 203.11 = 97.07 : x
  2. Step 2: Convert to fraction form
    135.41/203.11 = 97.07/x
  3. Step 3: Cross multiply
    135.41x = 203.11 × 97.07
  4. Step 4: Simplify right side
    135.41x = 19,716.15
  5. Step 5: Solve for x
    x = 19,716.15/135.41
  6. Step 6: Final answer
    x = 145.60

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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.