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Finding the Fourth Proportional to 98.35, 147.29 and 82.08

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Solution

The fourth proportional to 98.35, 147.29 and 82.08 is: 122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.35 : 147.29 = 82.08 : x
  2. Step 2: Convert to fraction form
    98.35/147.29 = 82.08/x
  3. Step 3: Cross multiply
    98.35x = 147.29 × 82.08
  4. Step 4: Simplify right side
    98.35x = 12,089.15
  5. Step 5: Solve for x
    x = 12,089.15/98.35
  6. Step 6: Final answer
    x = 122.92

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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.