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Finding the Fourth Proportional to 95.22, 142.56 and 72.32

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Solution

The fourth proportional to 95.22, 142.56 and 72.32 is: 108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.22 : 142.56 = 72.32 : x
  2. Step 2: Convert to fraction form
    95.22/142.56 = 72.32/x
  3. Step 3: Cross multiply
    95.22x = 142.56 × 72.32
  4. Step 4: Simplify right side
    95.22x = 10,309.94
  5. Step 5: Solve for x
    x = 10,309.94/95.22
  6. Step 6: Final answer
    x = 108.27

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