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Finding the Fourth Proportional to 107.11, 160.36 and 89.19

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Solution

The fourth proportional to 107.11, 160.36 and 89.19 is: 133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.11 : 160.36 = 89.19 : x
  2. Step 2: Convert to fraction form
    107.11/160.36 = 89.19/x
  3. Step 3: Cross multiply
    107.11x = 160.36 × 89.19
  4. Step 4: Simplify right side
    107.11x = 14,302.51
  5. Step 5: Solve for x
    x = 14,302.51/107.11
  6. Step 6: Final answer
    x = 133.53

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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.