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Finding the Fourth Proportional to 95.31, 142.16 and 85.82

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Solution

The fourth proportional to 95.31, 142.16 and 85.82 is: 127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.31 : 142.16 = 85.82 : x
  2. Step 2: Convert to fraction form
    95.31/142.16 = 85.82/x
  3. Step 3: Cross multiply
    95.31x = 142.16 × 85.82
  4. Step 4: Simplify right side
    95.31x = 12,199.03
  5. Step 5: Solve for x
    x = 12,199.03/95.31
  6. Step 6: Final answer
    x = 127.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.