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Finding the Fourth Proportional to 98.96, 148.60 and 85.52

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Solution

The fourth proportional to 98.96, 148.60 and 85.52 is: 128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.96 : 148.60 = 85.52 : x
  2. Step 2: Convert to fraction form
    98.96/148.60 = 85.52/x
  3. Step 3: Cross multiply
    98.96x = 148.60 × 85.52
  4. Step 4: Simplify right side
    98.96x = 12,708.27
  5. Step 5: Solve for x
    x = 12,708.27/98.96
  6. Step 6: Final answer
    x = 128.42

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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.