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Finding the Fourth Proportional to 135.57, 186.08 and 129.94

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Solution

The fourth proportional to 135.57, 186.08 and 129.94 is: 178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.57 : 186.08 = 129.94 : x
  2. Step 2: Convert to fraction form
    135.57/186.08 = 129.94/x
  3. Step 3: Cross multiply
    135.57x = 186.08 × 129.94
  4. Step 4: Simplify right side
    135.57x = 24,178.12
  5. Step 5: Solve for x
    x = 24,178.12/135.57
  6. Step 6: Final answer
    x = 178.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.