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Finding the Fourth Proportional to 104.49, 157.65 and 98.01

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Solution

The fourth proportional to 104.49, 157.65 and 98.01 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.49 : 157.65 = 98.01 : x
  2. Step 2: Convert to fraction form
    104.49/157.65 = 98.01/x
  3. Step 3: Cross multiply
    104.49x = 157.65 × 98.01
  4. Step 4: Simplify right side
    104.49x = 15,450.91
  5. Step 5: Solve for x
    x = 15,450.91/104.49
  6. Step 6: Final answer
    x = 147.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.