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Finding the Fourth Proportional to 135.20, 185.14 and 135.20

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Solution

The fourth proportional to 135.20, 185.14 and 135.20 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.20 : 185.14 = 135.20 : x
  2. Step 2: Convert to fraction form
    135.20/185.14 = 135.20/x
  3. Step 3: Cross multiply
    135.20x = 185.14 × 135.20
  4. Step 4: Simplify right side
    135.20x = 25,030.93
  5. Step 5: Solve for x
    x = 25,030.93/135.20
  6. Step 6: Final answer
    x = 185.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.