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Finding the Fourth Proportional to 135.28, 186.80 and 113.14

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Solution

The fourth proportional to 135.28, 186.80 and 113.14 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.28 : 186.80 = 113.14 : x
  2. Step 2: Convert to fraction form
    135.28/186.80 = 113.14/x
  3. Step 3: Cross multiply
    135.28x = 186.80 × 113.14
  4. Step 4: Simplify right side
    135.28x = 21,133.05
  5. Step 5: Solve for x
    x = 21,133.05/135.28
  6. Step 6: Final answer
    x = 156.22

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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.