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Finding the Fourth Proportional to 105.93, 159.57 and 92.39

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Solution

The fourth proportional to 105.93, 159.57 and 92.39 is: 139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.93 : 159.57 = 92.39 : x
  2. Step 2: Convert to fraction form
    105.93/159.57 = 92.39/x
  3. Step 3: Cross multiply
    105.93x = 159.57 × 92.39
  4. Step 4: Simplify right side
    105.93x = 14,741.87
  5. Step 5: Solve for x
    x = 14,741.87/105.93
  6. Step 6: Final answer
    x = 139.17

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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.