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Finding the Fourth Proportional to 98.20, 147.08 and 56.97

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Solution

The fourth proportional to 98.20, 147.08 and 56.97 is: 85.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 147.08 = 56.97 : x
  2. Step 2: Convert to fraction form
    98.20/147.08 = 56.97/x
  3. Step 3: Cross multiply
    98.20x = 147.08 × 56.97
  4. Step 4: Simplify right side
    98.20x = 8,379.29
  5. Step 5: Solve for x
    x = 8,379.29/98.20
  6. Step 6: Final answer
    x = 85.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.