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Finding the Fourth Proportional to 143.34, 214.76 and 97.54

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Solution

The fourth proportional to 143.34, 214.76 and 97.54 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.34 : 214.76 = 97.54 : x
  2. Step 2: Convert to fraction form
    143.34/214.76 = 97.54/x
  3. Step 3: Cross multiply
    143.34x = 214.76 × 97.54
  4. Step 4: Simplify right side
    143.34x = 20,947.69
  5. Step 5: Solve for x
    x = 20,947.69/143.34
  6. Step 6: Final answer
    x = 146.14

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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.