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Finding the Fourth Proportional to 135.53, 203.08 and 77.71

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Solution

The fourth proportional to 135.53, 203.08 and 77.71 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.53 : 203.08 = 77.71 : x
  2. Step 2: Convert to fraction form
    135.53/203.08 = 77.71/x
  3. Step 3: Cross multiply
    135.53x = 203.08 × 77.71
  4. Step 4: Simplify right side
    135.53x = 15,781.35
  5. Step 5: Solve for x
    x = 15,781.35/135.53
  6. Step 6: Final answer
    x = 116.44

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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.