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Finding the Fourth Proportional to 135.36, 186.33 and 114.57

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Solution

The fourth proportional to 135.36, 186.33 and 114.57 is: 157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.36 : 186.33 = 114.57 : x
  2. Step 2: Convert to fraction form
    135.36/186.33 = 114.57/x
  3. Step 3: Cross multiply
    135.36x = 186.33 × 114.57
  4. Step 4: Simplify right side
    135.36x = 21,347.83
  5. Step 5: Solve for x
    x = 21,347.83/135.36
  6. Step 6: Final answer
    x = 157.71

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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.