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Finding the Fourth Proportional to 95.62, 144.29 and 95.62

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Solution

The fourth proportional to 95.62, 144.29 and 95.62 is: 144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.62 : 144.29 = 95.62 : x
  2. Step 2: Convert to fraction form
    95.62/144.29 = 95.62/x
  3. Step 3: Cross multiply
    95.62x = 144.29 × 95.62
  4. Step 4: Simplify right side
    95.62x = 13,796.53
  5. Step 5: Solve for x
    x = 13,796.53/95.62
  6. Step 6: Final answer
    x = 144.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.