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Finding the Fourth Proportional to 98.97, 148.47 and 41.20

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Solution

The fourth proportional to 98.97, 148.47 and 41.20 is: 61.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 148.47 = 41.20 : x
  2. Step 2: Convert to fraction form
    98.97/148.47 = 41.20/x
  3. Step 3: Cross multiply
    98.97x = 148.47 × 41.20
  4. Step 4: Simplify right side
    98.97x = 6,117.30
  5. Step 5: Solve for x
    x = 6,117.30/98.97
  6. Step 6: Final answer
    x = 61.81

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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.