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Finding the Fourth Proportional to 135.48, 203.25 and 77.77

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Solution

The fourth proportional to 135.48, 203.25 and 77.77 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.48 : 203.25 = 77.77 : x
  2. Step 2: Convert to fraction form
    135.48/203.25 = 77.77/x
  3. Step 3: Cross multiply
    135.48x = 203.25 × 77.77
  4. Step 4: Simplify right side
    135.48x = 15,806.75
  5. Step 5: Solve for x
    x = 15,806.75/135.48
  6. Step 6: Final answer
    x = 116.67

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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.