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Finding the Fourth Proportional to 93.15, 139.47 and 54.57

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Solution

The fourth proportional to 93.15, 139.47 and 54.57 is: 81.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.15 : 139.47 = 54.57 : x
  2. Step 2: Convert to fraction form
    93.15/139.47 = 54.57/x
  3. Step 3: Cross multiply
    93.15x = 139.47 × 54.57
  4. Step 4: Simplify right side
    93.15x = 7,610.88
  5. Step 5: Solve for x
    x = 7,610.88/93.15
  6. Step 6: Final answer
    x = 81.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.