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Finding the Fourth Proportional to 143.66, 198.14 and 100.10

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Solution

The fourth proportional to 143.66, 198.14 and 100.10 is: 138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.66 : 198.14 = 100.10 : x
  2. Step 2: Convert to fraction form
    143.66/198.14 = 100.10/x
  3. Step 3: Cross multiply
    143.66x = 198.14 × 100.10
  4. Step 4: Simplify right side
    143.66x = 19,833.81
  5. Step 5: Solve for x
    x = 19,833.81/143.66
  6. Step 6: Final answer
    x = 138.06

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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.