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Finding the Fourth Proportional to 135.09, 186.48 and 97.83

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Solution

The fourth proportional to 135.09, 186.48 and 97.83 is: 135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.09 : 186.48 = 97.83 : x
  2. Step 2: Convert to fraction form
    135.09/186.48 = 97.83/x
  3. Step 3: Cross multiply
    135.09x = 186.48 × 97.83
  4. Step 4: Simplify right side
    135.09x = 18,243.34
  5. Step 5: Solve for x
    x = 18,243.34/135.09
  6. Step 6: Final answer
    x = 135.05

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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.