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Finding the Fourth Proportional to 143.07, 197.42 and 105.81

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Solution

The fourth proportional to 143.07, 197.42 and 105.81 is: 146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.07 : 197.42 = 105.81 : x
  2. Step 2: Convert to fraction form
    143.07/197.42 = 105.81/x
  3. Step 3: Cross multiply
    143.07x = 197.42 × 105.81
  4. Step 4: Simplify right side
    143.07x = 20,888.48
  5. Step 5: Solve for x
    x = 20,888.48/143.07
  6. Step 6: Final answer
    x = 146.00

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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.