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Finding the Fourth Proportional to 94.02, 140.86 and 76.88

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Solution

The fourth proportional to 94.02, 140.86 and 76.88 is: 115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.02 : 140.86 = 76.88 : x
  2. Step 2: Convert to fraction form
    94.02/140.86 = 76.88/x
  3. Step 3: Cross multiply
    94.02x = 140.86 × 76.88
  4. Step 4: Simplify right side
    94.02x = 10,829.32
  5. Step 5: Solve for x
    x = 10,829.32/94.02
  6. Step 6: Final answer
    x = 115.18

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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.