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Finding the Fourth Proportional to 135.19, 201.63 and 115.75

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Solution

The fourth proportional to 135.19, 201.63 and 115.75 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.19 : 201.63 = 115.75 : x
  2. Step 2: Convert to fraction form
    135.19/201.63 = 115.75/x
  3. Step 3: Cross multiply
    135.19x = 201.63 × 115.75
  4. Step 4: Simplify right side
    135.19x = 23,338.67
  5. Step 5: Solve for x
    x = 23,338.67/135.19
  6. Step 6: Final answer
    x = 172.64

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Why These Related Problems?

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