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Finding the Fourth Proportional to 135.06, 186.43 and 79.83

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Solution

The fourth proportional to 135.06, 186.43 and 79.83 is: 110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 186.43 = 79.83 : x
  2. Step 2: Convert to fraction form
    135.06/186.43 = 79.83/x
  3. Step 3: Cross multiply
    135.06x = 186.43 × 79.83
  4. Step 4: Simplify right side
    135.06x = 14,882.51
  5. Step 5: Solve for x
    x = 14,882.51/135.06
  6. Step 6: Final answer
    x = 110.19

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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.