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Finding the Fourth Proportional to 135.84, 202.86 and 115.37

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Solution

The fourth proportional to 135.84, 202.86 and 115.37 is: 172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 202.86 = 115.37 : x
  2. Step 2: Convert to fraction form
    135.84/202.86 = 115.37/x
  3. Step 3: Cross multiply
    135.84x = 202.86 × 115.37
  4. Step 4: Simplify right side
    135.84x = 23,402.94
  5. Step 5: Solve for x
    x = 23,402.94/135.84
  6. Step 6: Final answer
    x = 172.28

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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.