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Finding the Fourth Proportional to 98.01, 147.01 and 37.10

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Solution

The fourth proportional to 98.01, 147.01 and 37.10 is: 55.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.01 : 147.01 = 37.10 : x
  2. Step 2: Convert to fraction form
    98.01/147.01 = 37.10/x
  3. Step 3: Cross multiply
    98.01x = 147.01 × 37.10
  4. Step 4: Simplify right side
    98.01x = 5,453.89
  5. Step 5: Solve for x
    x = 5,453.89/98.01
  6. Step 6: Final answer
    x = 55.65

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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.