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Finding the Fourth Proportional to 135.28, 186.60 and 114.58

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Solution

The fourth proportional to 135.28, 186.60 and 114.58 is: 158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.28 : 186.60 = 114.58 : x
  2. Step 2: Convert to fraction form
    135.28/186.60 = 114.58/x
  3. Step 3: Cross multiply
    135.28x = 186.60 × 114.58
  4. Step 4: Simplify right side
    135.28x = 21,380.63
  5. Step 5: Solve for x
    x = 21,380.63/135.28
  6. Step 6: Final answer
    x = 158.05

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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.