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Finding the Fourth Proportional to 135.52, 187.10 and 83.84

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Solution

The fourth proportional to 135.52, 187.10 and 83.84 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.52 : 187.10 = 83.84 : x
  2. Step 2: Convert to fraction form
    135.52/187.10 = 83.84/x
  3. Step 3: Cross multiply
    135.52x = 187.10 × 83.84
  4. Step 4: Simplify right side
    135.52x = 15,686.46
  5. Step 5: Solve for x
    x = 15,686.46/135.52
  6. Step 6: Final answer
    x = 115.75

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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.