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Finding the Fourth Proportional to 135.35, 186.81 and 82.93

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Solution

The fourth proportional to 135.35, 186.81 and 82.93 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.35 : 186.81 = 82.93 : x
  2. Step 2: Convert to fraction form
    135.35/186.81 = 82.93/x
  3. Step 3: Cross multiply
    135.35x = 186.81 × 82.93
  4. Step 4: Simplify right side
    135.35x = 15,490.80
  5. Step 5: Solve for x
    x = 15,490.80/135.35
  6. Step 6: Final answer
    x = 114.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.