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Finding the Fourth Proportional to 97.58, 146.34 and 39.80

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Solution

The fourth proportional to 97.58, 146.34 and 39.80 is: 59.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.58 : 146.34 = 39.80 : x
  2. Step 2: Convert to fraction form
    97.58/146.34 = 39.80/x
  3. Step 3: Cross multiply
    97.58x = 146.34 × 39.80
  4. Step 4: Simplify right side
    97.58x = 5,824.33
  5. Step 5: Solve for x
    x = 5,824.33/97.58
  6. Step 6: Final answer
    x = 59.69

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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.