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Finding the Fourth Proportional to 143.40, 197.84 and 106.58

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Solution

The fourth proportional to 143.40, 197.84 and 106.58 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 197.84 = 106.58 : x
  2. Step 2: Convert to fraction form
    143.40/197.84 = 106.58/x
  3. Step 3: Cross multiply
    143.40x = 197.84 × 106.58
  4. Step 4: Simplify right side
    143.40x = 21,085.79
  5. Step 5: Solve for x
    x = 21,085.79/143.40
  6. Step 6: Final answer
    x = 147.04

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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.