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Finding the Fourth Proportional to 93.80, 140.87 and 77.77

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Solution

The fourth proportional to 93.80, 140.87 and 77.77 is: 116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.80 : 140.87 = 77.77 : x
  2. Step 2: Convert to fraction form
    93.80/140.87 = 77.77/x
  3. Step 3: Cross multiply
    93.80x = 140.87 × 77.77
  4. Step 4: Simplify right side
    93.80x = 10,955.46
  5. Step 5: Solve for x
    x = 10,955.46/93.80
  6. Step 6: Final answer
    x = 116.80

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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.