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Finding the Fourth Proportional to 98.09, 147.16 and 37.24

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Solution

The fourth proportional to 98.09, 147.16 and 37.24 is: 55.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.09 : 147.16 = 37.24 : x
  2. Step 2: Convert to fraction form
    98.09/147.16 = 37.24/x
  3. Step 3: Cross multiply
    98.09x = 147.16 × 37.24
  4. Step 4: Simplify right side
    98.09x = 5,480.54
  5. Step 5: Solve for x
    x = 5,480.54/98.09
  6. Step 6: Final answer
    x = 55.87

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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.