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Finding the Fourth Proportional to 98.30, 147.49 and 49.65

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Solution

The fourth proportional to 98.30, 147.49 and 49.65 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.30 : 147.49 = 49.65 : x
  2. Step 2: Convert to fraction form
    98.30/147.49 = 49.65/x
  3. Step 3: Cross multiply
    98.30x = 147.49 × 49.65
  4. Step 4: Simplify right side
    98.30x = 7,322.88
  5. Step 5: Solve for x
    x = 7,322.88/98.30
  6. Step 6: Final answer
    x = 74.50

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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.