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Finding the Fourth Proportional to 93.64, 140.24 and 67.98

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Solution

The fourth proportional to 93.64, 140.24 and 67.98 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.64 : 140.24 = 67.98 : x
  2. Step 2: Convert to fraction form
    93.64/140.24 = 67.98/x
  3. Step 3: Cross multiply
    93.64x = 140.24 × 67.98
  4. Step 4: Simplify right side
    93.64x = 9,533.52
  5. Step 5: Solve for x
    x = 9,533.52/93.64
  6. Step 6: Final answer
    x = 101.81

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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.