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Finding the Fourth Proportional to 98.20, 147.24 and 29.70

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Solution

The fourth proportional to 98.20, 147.24 and 29.70 is: 44.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 147.24 = 29.70 : x
  2. Step 2: Convert to fraction form
    98.20/147.24 = 29.70/x
  3. Step 3: Cross multiply
    98.20x = 147.24 × 29.70
  4. Step 4: Simplify right side
    98.20x = 4,373.03
  5. Step 5: Solve for x
    x = 4,373.03/98.20
  6. Step 6: Final answer
    x = 44.53

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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.