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Finding the Fourth Proportional to 98.35, 147.46 and 40.54

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Solution

The fourth proportional to 98.35, 147.46 and 40.54 is: 60.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.35 : 147.46 = 40.54 : x
  2. Step 2: Convert to fraction form
    98.35/147.46 = 40.54/x
  3. Step 3: Cross multiply
    98.35x = 147.46 × 40.54
  4. Step 4: Simplify right side
    98.35x = 5,978.03
  5. Step 5: Solve for x
    x = 5,978.03/98.35
  6. Step 6: Final answer
    x = 60.78

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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.