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Finding the Fourth Proportional to 93.16, 139.61 and 77.97

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Solution

The fourth proportional to 93.16, 139.61 and 77.97 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.16 : 139.61 = 77.97 : x
  2. Step 2: Convert to fraction form
    93.16/139.61 = 77.97/x
  3. Step 3: Cross multiply
    93.16x = 139.61 × 77.97
  4. Step 4: Simplify right side
    93.16x = 10,885.59
  5. Step 5: Solve for x
    x = 10,885.59/93.16
  6. Step 6: Final answer
    x = 116.85

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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.