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Finding the Fourth Proportional to 98.31, 147.48 and 29.83

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Solution

The fourth proportional to 98.31, 147.48 and 29.83 is: 44.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.31 : 147.48 = 29.83 : x
  2. Step 2: Convert to fraction form
    98.31/147.48 = 29.83/x
  3. Step 3: Cross multiply
    98.31x = 147.48 × 29.83
  4. Step 4: Simplify right side
    98.31x = 4,399.54
  5. Step 5: Solve for x
    x = 4,399.54/98.31
  6. Step 6: Final answer
    x = 44.75

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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.