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Finding the Fourth Proportional to 143.54, 198.08 and 84.54

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Solution

The fourth proportional to 143.54, 198.08 and 84.54 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.54 : 198.08 = 84.54 : x
  2. Step 2: Convert to fraction form
    143.54/198.08 = 84.54/x
  3. Step 3: Cross multiply
    143.54x = 198.08 × 84.54
  4. Step 4: Simplify right side
    143.54x = 16,746.32
  5. Step 5: Solve for x
    x = 16,746.32/143.54
  6. Step 6: Final answer
    x = 116.67

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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.