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Finding the Fourth Proportional to 93.15, 139.76 and 54.63

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Solution

The fourth proportional to 93.15, 139.76 and 54.63 is: 81.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.15 : 139.76 = 54.63 : x
  2. Step 2: Convert to fraction form
    93.15/139.76 = 54.63/x
  3. Step 3: Cross multiply
    93.15x = 139.76 × 54.63
  4. Step 4: Simplify right side
    93.15x = 7,635.09
  5. Step 5: Solve for x
    x = 7,635.09/93.15
  6. Step 6: Final answer
    x = 81.97

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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.