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Finding the Fourth Proportional to 107.29, 160.57 and 102.25

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Solution

The fourth proportional to 107.29, 160.57 and 102.25 is: 153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.29 : 160.57 = 102.25 : x
  2. Step 2: Convert to fraction form
    107.29/160.57 = 102.25/x
  3. Step 3: Cross multiply
    107.29x = 160.57 × 102.25
  4. Step 4: Simplify right side
    107.29x = 16,418.28
  5. Step 5: Solve for x
    x = 16,418.28/107.29
  6. Step 6: Final answer
    x = 153.03

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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.