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Finding the Fourth Proportional to 98.36, 147.60 and 46.97

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Solution

The fourth proportional to 98.36, 147.60 and 46.97 is: 70.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.36 : 147.60 = 46.97 : x
  2. Step 2: Convert to fraction form
    98.36/147.60 = 46.97/x
  3. Step 3: Cross multiply
    98.36x = 147.60 × 46.97
  4. Step 4: Simplify right side
    98.36x = 6,932.54
  5. Step 5: Solve for x
    x = 6,932.54/98.36
  6. Step 6: Final answer
    x = 70.48

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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.