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Finding the Fourth Proportional to 135.16, 186.53 and 83.41

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Solution

The fourth proportional to 135.16, 186.53 and 83.41 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.16 : 186.53 = 83.41 : x
  2. Step 2: Convert to fraction form
    135.16/186.53 = 83.41/x
  3. Step 3: Cross multiply
    135.16x = 186.53 × 83.41
  4. Step 4: Simplify right side
    135.16x = 15,558.47
  5. Step 5: Solve for x
    x = 15,558.47/135.16
  6. Step 6: Final answer
    x = 115.11

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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.