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Finding the Fourth Proportional to 97.36, 146.64 and 94.93

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Solution

The fourth proportional to 97.36, 146.64 and 94.93 is: 142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.36 : 146.64 = 94.93 : x
  2. Step 2: Convert to fraction form
    97.36/146.64 = 94.93/x
  3. Step 3: Cross multiply
    97.36x = 146.64 × 94.93
  4. Step 4: Simplify right side
    97.36x = 13,920.54
  5. Step 5: Solve for x
    x = 13,920.54/97.36
  6. Step 6: Final answer
    x = 142.98

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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.