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Finding the Fourth Proportional to 107.33, 160.98 and 30.28

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Solution

The fourth proportional to 107.33, 160.98 and 30.28 is: 45.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.33 : 160.98 = 30.28 : x
  2. Step 2: Convert to fraction form
    107.33/160.98 = 30.28/x
  3. Step 3: Cross multiply
    107.33x = 160.98 × 30.28
  4. Step 4: Simplify right side
    107.33x = 4,873.52
  5. Step 5: Solve for x
    x = 4,873.52/107.33
  6. Step 6: Final answer
    x = 45.41

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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.