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Finding the Fourth Proportional to 98, 146.91 and 57.41

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Solution

The fourth proportional to 98, 146.91 and 57.41 is: 86.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98 : 146.91 = 57.41 : x
  2. Step 2: Convert to fraction form
    98/146.91 = 57.41/x
  3. Step 3: Cross multiply
    98x = 146.91 × 57.41
  4. Step 4: Simplify right side
    98x = 8,434.10
  5. Step 5: Solve for x
    x = 8,434.10/98
  6. Step 6: Final answer
    x = 86.06

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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.