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Finding the Fourth Proportional to 95.26, 143.47 and 85.72

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Solution

The fourth proportional to 95.26, 143.47 and 85.72 is: 129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.26 : 143.47 = 85.72 : x
  2. Step 2: Convert to fraction form
    95.26/143.47 = 85.72/x
  3. Step 3: Cross multiply
    95.26x = 143.47 × 85.72
  4. Step 4: Simplify right side
    95.26x = 12,298.25
  5. Step 5: Solve for x
    x = 12,298.25/95.26
  6. Step 6: Final answer
    x = 129.10

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