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Finding the Fourth Proportional to 107.26, 160.33 and 88.90

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Solution

The fourth proportional to 107.26, 160.33 and 88.90 is: 132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 160.33 = 88.90 : x
  2. Step 2: Convert to fraction form
    107.26/160.33 = 88.90/x
  3. Step 3: Cross multiply
    107.26x = 160.33 × 88.90
  4. Step 4: Simplify right side
    107.26x = 14,252.89
  5. Step 5: Solve for x
    x = 14,252.89/107.26
  6. Step 6: Final answer
    x = 132.88

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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.