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Finding the Fourth Proportional to 135.13, 202.50 and 111.37

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Solution

The fourth proportional to 135.13, 202.50 and 111.37 is: 166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.13 : 202.50 = 111.37 : x
  2. Step 2: Convert to fraction form
    135.13/202.50 = 111.37/x
  3. Step 3: Cross multiply
    135.13x = 202.50 × 111.37
  4. Step 4: Simplify right side
    135.13x = 22,551.41
  5. Step 5: Solve for x
    x = 22,551.41/135.13
  6. Step 6: Final answer
    x = 166.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.