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Finding the Fourth Proportional to 105.74, 159.17 and 96.51

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Solution

The fourth proportional to 105.74, 159.17 and 96.51 is: 145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.74 : 159.17 = 96.51 : x
  2. Step 2: Convert to fraction form
    105.74/159.17 = 96.51/x
  3. Step 3: Cross multiply
    105.74x = 159.17 × 96.51
  4. Step 4: Simplify right side
    105.74x = 15,361.01
  5. Step 5: Solve for x
    x = 15,361.01/105.74
  6. Step 6: Final answer
    x = 145.28

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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.