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Finding the Fourth Proportional to 93.34, 140.02 and 45.22

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Solution

The fourth proportional to 93.34, 140.02 and 45.22 is: 67.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.34 : 140.02 = 45.22 : x
  2. Step 2: Convert to fraction form
    93.34/140.02 = 45.22/x
  3. Step 3: Cross multiply
    93.34x = 140.02 × 45.22
  4. Step 4: Simplify right side
    93.34x = 6,331.70
  5. Step 5: Solve for x
    x = 6,331.70/93.34
  6. Step 6: Final answer
    x = 67.83

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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.