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Finding the Fourth Proportional to 135.52, 187.13 and 114.96

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Solution

The fourth proportional to 135.52, 187.13 and 114.96 is: 158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.52 : 187.13 = 114.96 : x
  2. Step 2: Convert to fraction form
    135.52/187.13 = 114.96/x
  3. Step 3: Cross multiply
    135.52x = 187.13 × 114.96
  4. Step 4: Simplify right side
    135.52x = 21,512.75
  5. Step 5: Solve for x
    x = 21,512.75/135.52
  6. Step 6: Final answer
    x = 158.75

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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.