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Finding the Fourth Proportional to 135.11, 186.40 and 98.19

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Solution

The fourth proportional to 135.11, 186.40 and 98.19 is: 135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.11 : 186.40 = 98.19 : x
  2. Step 2: Convert to fraction form
    135.11/186.40 = 98.19/x
  3. Step 3: Cross multiply
    135.11x = 186.40 × 98.19
  4. Step 4: Simplify right side
    135.11x = 18,302.74
  5. Step 5: Solve for x
    x = 18,302.74/135.11
  6. Step 6: Final answer
    x = 135.46

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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.