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Finding the Fourth Proportional to 135.07, 186.41 and 93.65

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Solution

The fourth proportional to 135.07, 186.41 and 93.65 is: 129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.07 : 186.41 = 93.65 : x
  2. Step 2: Convert to fraction form
    135.07/186.41 = 93.65/x
  3. Step 3: Cross multiply
    135.07x = 186.41 × 93.65
  4. Step 4: Simplify right side
    135.07x = 17,456.60
  5. Step 5: Solve for x
    x = 17,456.60/135.07
  6. Step 6: Final answer
    x = 129.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.