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Finding the Fourth Proportional to 107.54, 160.45 and 89.54

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Solution

The fourth proportional to 107.54, 160.45 and 89.54 is: 133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.54 : 160.45 = 89.54 : x
  2. Step 2: Convert to fraction form
    107.54/160.45 = 89.54/x
  3. Step 3: Cross multiply
    107.54x = 160.45 × 89.54
  4. Step 4: Simplify right side
    107.54x = 14,366.69
  5. Step 5: Solve for x
    x = 14,366.69/107.54
  6. Step 6: Final answer
    x = 133.59

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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.