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Finding the Fourth Proportional to 143.30, 214.57 and 97.74

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Solution

The fourth proportional to 143.30, 214.57 and 97.74 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.30 : 214.57 = 97.74 : x
  2. Step 2: Convert to fraction form
    143.30/214.57 = 97.74/x
  3. Step 3: Cross multiply
    143.30x = 214.57 × 97.74
  4. Step 4: Simplify right side
    143.30x = 20,972.19
  5. Step 5: Solve for x
    x = 20,972.19/143.30
  6. Step 6: Final answer
    x = 146.35

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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.