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Finding the Fourth Proportional to 95.08, 142.58 and 82.05

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Solution

The fourth proportional to 95.08, 142.58 and 82.05 is: 123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.08 : 142.58 = 82.05 : x
  2. Step 2: Convert to fraction form
    95.08/142.58 = 82.05/x
  3. Step 3: Cross multiply
    95.08x = 142.58 × 82.05
  4. Step 4: Simplify right side
    95.08x = 11,698.69
  5. Step 5: Solve for x
    x = 11,698.69/95.08
  6. Step 6: Final answer
    x = 123.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.