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Finding the Fourth Proportional to 98.57, 147.83 and 26.41

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Solution

The fourth proportional to 98.57, 147.83 and 26.41 is: 39.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.57 : 147.83 = 26.41 : x
  2. Step 2: Convert to fraction form
    98.57/147.83 = 26.41/x
  3. Step 3: Cross multiply
    98.57x = 147.83 × 26.41
  4. Step 4: Simplify right side
    98.57x = 3,903.75
  5. Step 5: Solve for x
    x = 3,903.75/98.57
  6. Step 6: Final answer
    x = 39.61

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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.