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Finding the Fourth Proportional to 98.34, 146.80 and 83.80

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Solution

The fourth proportional to 98.34, 146.80 and 83.80 is: 125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 146.80 = 83.80 : x
  2. Step 2: Convert to fraction form
    98.34/146.80 = 83.80/x
  3. Step 3: Cross multiply
    98.34x = 146.80 × 83.80
  4. Step 4: Simplify right side
    98.34x = 12,301.11
  5. Step 5: Solve for x
    x = 12,301.11/98.34
  6. Step 6: Final answer
    x = 125.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.