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Finding the Fourth Proportional to 98.06, 146.94 and 52.39

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Solution

The fourth proportional to 98.06, 146.94 and 52.39 is: 78.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.06 : 146.94 = 52.39 : x
  2. Step 2: Convert to fraction form
    98.06/146.94 = 52.39/x
  3. Step 3: Cross multiply
    98.06x = 146.94 × 52.39
  4. Step 4: Simplify right side
    98.06x = 7,697.82
  5. Step 5: Solve for x
    x = 7,697.82/98.06
  6. Step 6: Final answer
    x = 78.51

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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.