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Finding the Fourth Proportional to 98.28, 147.44 and 29.84

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Solution

The fourth proportional to 98.28, 147.44 and 29.84 is: 44.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.28 : 147.44 = 29.84 : x
  2. Step 2: Convert to fraction form
    98.28/147.44 = 29.84/x
  3. Step 3: Cross multiply
    98.28x = 147.44 × 29.84
  4. Step 4: Simplify right side
    98.28x = 4,398.95
  5. Step 5: Solve for x
    x = 4,398.95/98.28
  6. Step 6: Final answer
    x = 44.76

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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.