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Finding the Fourth Proportional to 97.64, 146.54 and 46.31

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Solution

The fourth proportional to 97.64, 146.54 and 46.31 is: 69.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 146.54 = 46.31 : x
  2. Step 2: Convert to fraction form
    97.64/146.54 = 46.31/x
  3. Step 3: Cross multiply
    97.64x = 146.54 × 46.31
  4. Step 4: Simplify right side
    97.64x = 6,785.65
  5. Step 5: Solve for x
    x = 6,785.65/97.64
  6. Step 6: Final answer
    x = 69.50

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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.