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Finding the Fourth Proportional to 97.91, 146.81 and 46.58

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Solution

The fourth proportional to 97.91, 146.81 and 46.58 is: 69.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.91 : 146.81 = 46.58 : x
  2. Step 2: Convert to fraction form
    97.91/146.81 = 46.58/x
  3. Step 3: Cross multiply
    97.91x = 146.81 × 46.58
  4. Step 4: Simplify right side
    97.91x = 6,837.79
  5. Step 5: Solve for x
    x = 6,837.79/97.91
  6. Step 6: Final answer
    x = 69.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.