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Finding the Fourth Proportional to 143.61, 197.73 and 127.20

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Solution

The fourth proportional to 143.61, 197.73 and 127.20 is: 175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.61 : 197.73 = 127.20 : x
  2. Step 2: Convert to fraction form
    143.61/197.73 = 127.20/x
  3. Step 3: Cross multiply
    143.61x = 197.73 × 127.20
  4. Step 4: Simplify right side
    143.61x = 25,151.26
  5. Step 5: Solve for x
    x = 25,151.26/143.61
  6. Step 6: Final answer
    x = 175.14

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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.