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Finding the Fourth Proportional to 98.38, 146.87 and 85.64

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Solution

The fourth proportional to 98.38, 146.87 and 85.64 is: 127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.38 : 146.87 = 85.64 : x
  2. Step 2: Convert to fraction form
    98.38/146.87 = 85.64/x
  3. Step 3: Cross multiply
    98.38x = 146.87 × 85.64
  4. Step 4: Simplify right side
    98.38x = 12,577.95
  5. Step 5: Solve for x
    x = 12,577.95/98.38
  6. Step 6: Final answer
    x = 127.85

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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.