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Finding the Fourth Proportional to 93.64, 140.22 and 55.08

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Solution

The fourth proportional to 93.64, 140.22 and 55.08 is: 82.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.64 : 140.22 = 55.08 : x
  2. Step 2: Convert to fraction form
    93.64/140.22 = 55.08/x
  3. Step 3: Cross multiply
    93.64x = 140.22 × 55.08
  4. Step 4: Simplify right side
    93.64x = 7,723.32
  5. Step 5: Solve for x
    x = 7,723.32/93.64
  6. Step 6: Final answer
    x = 82.48

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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.