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Finding the Fourth Proportional to 98.32, 147.49 and 29.83

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Solution

The fourth proportional to 98.32, 147.49 and 29.83 is: 44.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.32 : 147.49 = 29.83 : x
  2. Step 2: Convert to fraction form
    98.32/147.49 = 29.83/x
  3. Step 3: Cross multiply
    98.32x = 147.49 × 29.83
  4. Step 4: Simplify right side
    98.32x = 4,400.11
  5. Step 5: Solve for x
    x = 4,400.11/98.32
  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.