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Finding the Fourth Proportional to 97.65, 146.47 and 32.65

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Solution

The fourth proportional to 97.65, 146.47 and 32.65 is: 48.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.65 : 146.47 = 32.65 : x
  2. Step 2: Convert to fraction form
    97.65/146.47 = 32.65/x
  3. Step 3: Cross multiply
    97.65x = 146.47 × 32.65
  4. Step 4: Simplify right side
    97.65x = 4,782.25
  5. Step 5: Solve for x
    x = 4,782.25/97.65
  6. Step 6: Final answer
    x = 48.97

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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.