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Finding the Fourth Proportional to 107.40, 160.96 and 89.32

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Solution

The fourth proportional to 107.40, 160.96 and 89.32 is: 133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.40 : 160.96 = 89.32 : x
  2. Step 2: Convert to fraction form
    107.40/160.96 = 89.32/x
  3. Step 3: Cross multiply
    107.40x = 160.96 × 89.32
  4. Step 4: Simplify right side
    107.40x = 14,376.95
  5. Step 5: Solve for x
    x = 14,376.95/107.40
  6. Step 6: Final answer
    x = 133.86

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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.