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Finding the Fourth Proportional to 98.98, 148.68 and 96.28

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Solution

The fourth proportional to 98.98, 148.68 and 96.28 is: 144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.98 : 148.68 = 96.28 : x
  2. Step 2: Convert to fraction form
    98.98/148.68 = 96.28/x
  3. Step 3: Cross multiply
    98.98x = 148.68 × 96.28
  4. Step 4: Simplify right side
    98.98x = 14,314.91
  5. Step 5: Solve for x
    x = 14,314.91/98.98
  6. Step 6: Final answer
    x = 144.62

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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.