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Finding the Fourth Proportional to 113.31, 169.97 and 64.56

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Solution

The fourth proportional to 113.31, 169.97 and 64.56 is: 96.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.31 : 169.97 = 64.56 : x
  2. Step 2: Convert to fraction form
    113.31/169.97 = 64.56/x
  3. Step 3: Cross multiply
    113.31x = 169.97 × 64.56
  4. Step 4: Simplify right side
    113.31x = 10,973.26
  5. Step 5: Solve for x
    x = 10,973.26/113.31
  6. Step 6: Final answer
    x = 96.84

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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.