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Finding the Fourth Proportional to 113.63, 170.21 and 83.06

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Solution

The fourth proportional to 113.63, 170.21 and 83.06 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 170.21 = 83.06 : x
  2. Step 2: Convert to fraction form
    113.63/170.21 = 83.06/x
  3. Step 3: Cross multiply
    113.63x = 170.21 × 83.06
  4. Step 4: Simplify right side
    113.63x = 14,137.64
  5. Step 5: Solve for x
    x = 14,137.64/113.63
  6. Step 6: Final answer
    x = 124.42

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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.