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Finding the Fourth Proportional to 93.97, 140.86 and 45.15

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Solution

The fourth proportional to 93.97, 140.86 and 45.15 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.97 : 140.86 = 45.15 : x
  2. Step 2: Convert to fraction form
    93.97/140.86 = 45.15/x
  3. Step 3: Cross multiply
    93.97x = 140.86 × 45.15
  4. Step 4: Simplify right side
    93.97x = 6,359.88
  5. Step 5: Solve for x
    x = 6,359.88/93.97
  6. Step 6: Final answer
    x = 67.68

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Why These Related Problems?

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