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Finding the Fourth Proportional to 143.24, 197.70 and 96.70

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Solution

The fourth proportional to 143.24, 197.70 and 96.70 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.24 : 197.70 = 96.70 : x
  2. Step 2: Convert to fraction form
    143.24/197.70 = 96.70/x
  3. Step 3: Cross multiply
    143.24x = 197.70 × 96.70
  4. Step 4: Simplify right side
    143.24x = 19,117.59
  5. Step 5: Solve for x
    x = 19,117.59/143.24
  6. Step 6: Final answer
    x = 133.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.