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Finding the Fourth Proportional to 135.09, 201.77 and 116.87

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Solution

The fourth proportional to 135.09, 201.77 and 116.87 is: 174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.09 : 201.77 = 116.87 : x
  2. Step 2: Convert to fraction form
    135.09/201.77 = 116.87/x
  3. Step 3: Cross multiply
    135.09x = 201.77 × 116.87
  4. Step 4: Simplify right side
    135.09x = 23,580.14
  5. Step 5: Solve for x
    x = 23,580.14/135.09
  6. Step 6: Final answer
    x = 174.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.