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Finding the Fourth Proportional to 94.98, 131.14 and 74.22

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Solution

The fourth proportional to 94.98, 131.14 and 74.22 is: 102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.98 : 131.14 = 74.22 : x
  2. Step 2: Convert to fraction form
    94.98/131.14 = 74.22/x
  3. Step 3: Cross multiply
    94.98x = 131.14 × 74.22
  4. Step 4: Simplify right side
    94.98x = 9,732.81
  5. Step 5: Solve for x
    x = 9,732.81/94.98
  6. Step 6: Final answer
    x = 102.48

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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.