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Finding the Fourth Proportional to 98.01, 146.96 and 37.11

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Solution

The fourth proportional to 98.01, 146.96 and 37.11 is: 55.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.01 : 146.96 = 37.11 : x
  2. Step 2: Convert to fraction form
    98.01/146.96 = 37.11/x
  3. Step 3: Cross multiply
    98.01x = 146.96 × 37.11
  4. Step 4: Simplify right side
    98.01x = 5,453.50
  5. Step 5: Solve for x
    x = 5,453.50/98.01
  6. Step 6: Final answer
    x = 55.64

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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.