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Finding the Fourth Proportional to 135.13, 201.73 and 115.88

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Solution

The fourth proportional to 135.13, 201.73 and 115.88 is: 172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.13 : 201.73 = 115.88 : x
  2. Step 2: Convert to fraction form
    135.13/201.73 = 115.88/x
  3. Step 3: Cross multiply
    135.13x = 201.73 × 115.88
  4. Step 4: Simplify right side
    135.13x = 23,376.47
  5. Step 5: Solve for x
    x = 23,376.47/135.13
  6. Step 6: Final answer
    x = 172.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.