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Finding the Fourth Proportional to 143.58, 198 and 115.93

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Solution

The fourth proportional to 143.58, 198 and 115.93 is: 159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.58 : 198 = 115.93 : x
  2. Step 2: Convert to fraction form
    143.58/198 = 115.93/x
  3. Step 3: Cross multiply
    143.58x = 198 × 115.93
  4. Step 4: Simplify right side
    143.58x = 22,954.14
  5. Step 5: Solve for x
    x = 22,954.14/143.58
  6. Step 6: Final answer
    x = 159.87

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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.