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Finding the Fourth Proportional to 98.20, 147.06 and 65.68

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Solution

The fourth proportional to 98.20, 147.06 and 65.68 is: 98.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 147.06 = 65.68 : x
  2. Step 2: Convert to fraction form
    98.20/147.06 = 65.68/x
  3. Step 3: Cross multiply
    98.20x = 147.06 × 65.68
  4. Step 4: Simplify right side
    98.20x = 9,658.90
  5. Step 5: Solve for x
    x = 9,658.90/98.20
  6. Step 6: Final answer
    x = 98.36

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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.