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Finding the Fourth Proportional to 96.93, 146.09 and 92.81

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Solution

The fourth proportional to 96.93, 146.09 and 92.81 is: 139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 146.09 = 92.81 : x
  2. Step 2: Convert to fraction form
    96.93/146.09 = 92.81/x
  3. Step 3: Cross multiply
    96.93x = 146.09 × 92.81
  4. Step 4: Simplify right side
    96.93x = 13,559.21
  5. Step 5: Solve for x
    x = 13,559.21/96.93
  6. Step 6: Final answer
    x = 139.89

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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.