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Finding the Fourth Proportional to 135.66, 203.30 and 77.76

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Solution

The fourth proportional to 135.66, 203.30 and 77.76 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.66 : 203.30 = 77.76 : x
  2. Step 2: Convert to fraction form
    135.66/203.30 = 77.76/x
  3. Step 3: Cross multiply
    135.66x = 203.30 × 77.76
  4. Step 4: Simplify right side
    135.66x = 15,808.61
  5. Step 5: Solve for x
    x = 15,808.61/135.66
  6. Step 6: Final answer
    x = 116.53

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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.