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Finding the Fourth Proportional to 135.14, 186.45 and 79.11

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Solution

The fourth proportional to 135.14, 186.45 and 79.11 is: 109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 186.45 = 79.11 : x
  2. Step 2: Convert to fraction form
    135.14/186.45 = 79.11/x
  3. Step 3: Cross multiply
    135.14x = 186.45 × 79.11
  4. Step 4: Simplify right side
    135.14x = 14,750.21
  5. Step 5: Solve for x
    x = 14,750.21/135.14
  6. Step 6: Final answer
    x = 109.15

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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.