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Finding the Fourth Proportional to 93.90, 141.09 and 83.31

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Solution

The fourth proportional to 93.90, 141.09 and 83.31 is: 125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.90 : 141.09 = 83.31 : x
  2. Step 2: Convert to fraction form
    93.90/141.09 = 83.31/x
  3. Step 3: Cross multiply
    93.90x = 141.09 × 83.31
  4. Step 4: Simplify right side
    93.90x = 11,754.21
  5. Step 5: Solve for x
    x = 11,754.21/93.90
  6. Step 6: Final answer
    x = 125.18

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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.