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Finding the Fourth Proportional to 98.81, 136.34 and 61.46

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Solution

The fourth proportional to 98.81, 136.34 and 61.46 is: 84.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.81 : 136.34 = 61.46 : x
  2. Step 2: Convert to fraction form
    98.81/136.34 = 61.46/x
  3. Step 3: Cross multiply
    98.81x = 136.34 × 61.46
  4. Step 4: Simplify right side
    98.81x = 8,379.46
  5. Step 5: Solve for x
    x = 8,379.46/98.81
  6. Step 6: Final answer
    x = 84.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.