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Finding the Fourth Proportional to 95.06, 131.06 and 62.25

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Solution

The fourth proportional to 95.06, 131.06 and 62.25 is: 85.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 131.06 = 62.25 : x
  2. Step 2: Convert to fraction form
    95.06/131.06 = 62.25/x
  3. Step 3: Cross multiply
    95.06x = 131.06 × 62.25
  4. Step 4: Simplify right side
    95.06x = 8,158.17
  5. Step 5: Solve for x
    x = 8,158.17/95.06
  6. Step 6: Final answer
    x = 85.83

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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.