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Finding the Fourth Proportional to 95.54, 143.32 and 41.46

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Solution

The fourth proportional to 95.54, 143.32 and 41.46 is: 62.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.54 : 143.32 = 41.46 : x
  2. Step 2: Convert to fraction form
    95.54/143.32 = 41.46/x
  3. Step 3: Cross multiply
    95.54x = 143.32 × 41.46
  4. Step 4: Simplify right side
    95.54x = 5,942.05
  5. Step 5: Solve for x
    x = 5,942.05/95.54
  6. Step 6: Final answer
    x = 62.19

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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.