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Finding the Fourth Proportional to 106.54, 159.92 and 89.45

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Solution

The fourth proportional to 106.54, 159.92 and 89.45 is: 134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 159.92 = 89.45 : x
  2. Step 2: Convert to fraction form
    106.54/159.92 = 89.45/x
  3. Step 3: Cross multiply
    106.54x = 159.92 × 89.45
  4. Step 4: Simplify right side
    106.54x = 14,305.94
  5. Step 5: Solve for x
    x = 14,305.94/106.54
  6. Step 6: Final answer
    x = 134.28

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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.