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Finding the Fourth Proportional to 93.76, 140.96 and 77.76

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Solution

The fourth proportional to 93.76, 140.96 and 77.76 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.76 : 140.96 = 77.76 : x
  2. Step 2: Convert to fraction form
    93.76/140.96 = 77.76/x
  3. Step 3: Cross multiply
    93.76x = 140.96 × 77.76
  4. Step 4: Simplify right side
    93.76x = 10,961.05
  5. Step 5: Solve for x
    x = 10,961.05/93.76
  6. Step 6: Final answer
    x = 116.91

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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.