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Finding the Fourth Proportional to 143.76, 198.40 and 102.32

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Solution

The fourth proportional to 143.76, 198.40 and 102.32 is: 141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.76 : 198.40 = 102.32 : x
  2. Step 2: Convert to fraction form
    143.76/198.40 = 102.32/x
  3. Step 3: Cross multiply
    143.76x = 198.40 × 102.32
  4. Step 4: Simplify right side
    143.76x = 20,300.29
  5. Step 5: Solve for x
    x = 20,300.29/143.76
  6. Step 6: Final answer
    x = 141.21

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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.