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Finding the Fourth Proportional to 113.54, 169.43 and 102.09

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Solution

The fourth proportional to 113.54, 169.43 and 102.09 is: 152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.54 : 169.43 = 102.09 : x
  2. Step 2: Convert to fraction form
    113.54/169.43 = 102.09/x
  3. Step 3: Cross multiply
    113.54x = 169.43 × 102.09
  4. Step 4: Simplify right side
    113.54x = 17,297.11
  5. Step 5: Solve for x
    x = 17,297.11/113.54
  6. Step 6: Final answer
    x = 152.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.