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Finding the Fourth Proportional to 70.98, 98.04 and 50.28

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Solution

The fourth proportional to 70.98, 98.04 and 50.28 is: 69.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.98 : 98.04 = 50.28 : x
  2. Step 2: Convert to fraction form
    70.98/98.04 = 50.28/x
  3. Step 3: Cross multiply
    70.98x = 98.04 × 50.28
  4. Step 4: Simplify right side
    70.98x = 4,929.45
  5. Step 5: Solve for x
    x = 4,929.45/70.98
  6. Step 6: Final answer
    x = 69.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.