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Finding the Fourth Proportional to 98.54, 147.77 and 68.30

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Solution

The fourth proportional to 98.54, 147.77 and 68.30 is: 102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.54 : 147.77 = 68.30 : x
  2. Step 2: Convert to fraction form
    98.54/147.77 = 68.30/x
  3. Step 3: Cross multiply
    98.54x = 147.77 × 68.30
  4. Step 4: Simplify right side
    98.54x = 10,092.12
  5. Step 5: Solve for x
    x = 10,092.12/98.54
  6. Step 6: Final answer
    x = 102.42

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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.