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Finding the Fourth Proportional to 135.06, 186.34 and 79.82

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Solution

The fourth proportional to 135.06, 186.34 and 79.82 is: 110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 186.34 = 79.82 : x
  2. Step 2: Convert to fraction form
    135.06/186.34 = 79.82/x
  3. Step 3: Cross multiply
    135.06x = 186.34 × 79.82
  4. Step 4: Simplify right side
    135.06x = 14,873.66
  5. Step 5: Solve for x
    x = 14,873.66/135.06
  6. Step 6: Final answer
    x = 110.13

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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.