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Finding the Fourth Proportional to 135.78, 202.26 and 129.12

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Solution

The fourth proportional to 135.78, 202.26 and 129.12 is: 192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.78 : 202.26 = 129.12 : x
  2. Step 2: Convert to fraction form
    135.78/202.26 = 129.12/x
  3. Step 3: Cross multiply
    135.78x = 202.26 × 129.12
  4. Step 4: Simplify right side
    135.78x = 26,115.81
  5. Step 5: Solve for x
    x = 26,115.81/135.78
  6. Step 6: Final answer
    x = 192.34

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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.