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Finding the Fourth Proportional to 98.65, 148.07 and 92.78

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Solution

The fourth proportional to 98.65, 148.07 and 92.78 is: 139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.65 : 148.07 = 92.78 : x
  2. Step 2: Convert to fraction form
    98.65/148.07 = 92.78/x
  3. Step 3: Cross multiply
    98.65x = 148.07 × 92.78
  4. Step 4: Simplify right side
    98.65x = 13,737.93
  5. Step 5: Solve for x
    x = 13,737.93/98.65
  6. Step 6: Final answer
    x = 139.26

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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.