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Finding the Fourth Proportional to 98.74, 148 and 75.86

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Solution

The fourth proportional to 98.74, 148 and 75.86 is: 113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.74 : 148 = 75.86 : x
  2. Step 2: Convert to fraction form
    98.74/148 = 75.86/x
  3. Step 3: Cross multiply
    98.74x = 148 × 75.86
  4. Step 4: Simplify right side
    98.74x = 11,227.28
  5. Step 5: Solve for x
    x = 11,227.28/98.74
  6. Step 6: Final answer
    x = 113.71

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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.