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Finding the Fourth Proportional to 143.06, 214.68 and 61.95

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Solution

The fourth proportional to 143.06, 214.68 and 61.95 is: 92.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.06 : 214.68 = 61.95 : x
  2. Step 2: Convert to fraction form
    143.06/214.68 = 61.95/x
  3. Step 3: Cross multiply
    143.06x = 214.68 × 61.95
  4. Step 4: Simplify right side
    143.06x = 13,299.43
  5. Step 5: Solve for x
    x = 13,299.43/143.06
  6. Step 6: Final answer
    x = 92.97

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Why These Related Problems?

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