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Finding the Fourth Proportional to 113.63, 171.05 and 98.73

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Solution

The fourth proportional to 113.63, 171.05 and 98.73 is: 148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 171.05 = 98.73 : x
  2. Step 2: Convert to fraction form
    113.63/171.05 = 98.73/x
  3. Step 3: Cross multiply
    113.63x = 171.05 × 98.73
  4. Step 4: Simplify right side
    113.63x = 16,887.27
  5. Step 5: Solve for x
    x = 16,887.27/113.63
  6. Step 6: Final answer
    x = 148.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.