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Finding the Fourth Proportional to 143.36, 214.96 and 97.76

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Solution

The fourth proportional to 143.36, 214.96 and 97.76 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.36 : 214.96 = 97.76 : x
  2. Step 2: Convert to fraction form
    143.36/214.96 = 97.76/x
  3. Step 3: Cross multiply
    143.36x = 214.96 × 97.76
  4. Step 4: Simplify right side
    143.36x = 21,014.49
  5. Step 5: Solve for x
    x = 21,014.49/143.36
  6. Step 6: Final answer
    x = 146.59

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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.