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Finding the Fourth Proportional to 135.17, 186.40 and 100.14

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Solution

The fourth proportional to 135.17, 186.40 and 100.14 is: 138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.17 : 186.40 = 100.14 : x
  2. Step 2: Convert to fraction form
    135.17/186.40 = 100.14/x
  3. Step 3: Cross multiply
    135.17x = 186.40 × 100.14
  4. Step 4: Simplify right side
    135.17x = 18,665.52
  5. Step 5: Solve for x
    x = 18,665.52/135.17
  6. Step 6: Final answer
    x = 138.09

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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.