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Finding the Fourth Proportional to 135.58, 202.40 and 116.11

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Solution

The fourth proportional to 135.58, 202.40 and 116.11 is: 173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.58 : 202.40 = 116.11 : x
  2. Step 2: Convert to fraction form
    135.58/202.40 = 116.11/x
  3. Step 3: Cross multiply
    135.58x = 202.40 × 116.11
  4. Step 4: Simplify right side
    135.58x = 23,500.08
  5. Step 5: Solve for x
    x = 23,500.08/135.58
  6. Step 6: Final answer
    x = 173.33

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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.