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Finding the Fourth Proportional to 95.08, 131.10 and 83.38

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Solution

The fourth proportional to 95.08, 131.10 and 83.38 is: 114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.08 : 131.10 = 83.38 : x
  2. Step 2: Convert to fraction form
    95.08/131.10 = 83.38/x
  3. Step 3: Cross multiply
    95.08x = 131.10 × 83.38
  4. Step 4: Simplify right side
    95.08x = 10,931.12
  5. Step 5: Solve for x
    x = 10,931.12/95.08
  6. Step 6: Final answer
    x = 114.97

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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.