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Finding the Fourth Proportional to 95.05, 131.14 and 58.17

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Solution

The fourth proportional to 95.05, 131.14 and 58.17 is: 80.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.05 : 131.14 = 58.17 : x
  2. Step 2: Convert to fraction form
    95.05/131.14 = 58.17/x
  3. Step 3: Cross multiply
    95.05x = 131.14 × 58.17
  4. Step 4: Simplify right side
    95.05x = 7,627.47
  5. Step 5: Solve for x
    x = 7,627.47/95.05
  6. Step 6: Final answer
    x = 80.25

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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.