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Finding the Fourth Proportional to 96.94, 146.03 and 95.68

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Solution

The fourth proportional to 96.94, 146.03 and 95.68 is: 144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.94 : 146.03 = 95.68 : x
  2. Step 2: Convert to fraction form
    96.94/146.03 = 95.68/x
  3. Step 3: Cross multiply
    96.94x = 146.03 × 95.68
  4. Step 4: Simplify right side
    96.94x = 13,971.67
  5. Step 5: Solve for x
    x = 13,971.67/96.94
  6. Step 6: Final answer
    x = 144.13

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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.