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Finding the Fourth Proportional to 94.98, 131.40 and 76.80

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Solution

The fourth proportional to 94.98, 131.40 and 76.80 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.98 : 131.40 = 76.80 : x
  2. Step 2: Convert to fraction form
    94.98/131.40 = 76.80/x
  3. Step 3: Cross multiply
    94.98x = 131.40 × 76.80
  4. Step 4: Simplify right side
    94.98x = 10,091.52
  5. Step 5: Solve for x
    x = 10,091.52/94.98
  6. Step 6: Final answer
    x = 106.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.