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Finding the Fourth Proportional to 106, 159.74 and 89.26

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Solution

The fourth proportional to 106, 159.74 and 89.26 is: 134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 159.74 = 89.26 : x
  2. Step 2: Convert to fraction form
    106/159.74 = 89.26/x
  3. Step 3: Cross multiply
    106x = 159.74 × 89.26
  4. Step 4: Simplify right side
    106x = 14,258.39
  5. Step 5: Solve for x
    x = 14,258.39/106
  6. Step 6: Final answer
    x = 134.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.