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Finding the Fourth Proportional to 135.63, 187.09 and 83.20

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Solution

The fourth proportional to 135.63, 187.09 and 83.20 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.63 : 187.09 = 83.20 : x
  2. Step 2: Convert to fraction form
    135.63/187.09 = 83.20/x
  3. Step 3: Cross multiply
    135.63x = 187.09 × 83.20
  4. Step 4: Simplify right side
    135.63x = 15,565.21
  5. Step 5: Solve for x
    x = 15,565.21/135.63
  6. Step 6: Final answer
    x = 114.76

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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.