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Finding the Fourth Proportional to 70.45, 97.22 and 42.80

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Solution

The fourth proportional to 70.45, 97.22 and 42.80 is: 59.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.45 : 97.22 = 42.80 : x
  2. Step 2: Convert to fraction form
    70.45/97.22 = 42.80/x
  3. Step 3: Cross multiply
    70.45x = 97.22 × 42.80
  4. Step 4: Simplify right side
    70.45x = 4,161.02
  5. Step 5: Solve for x
    x = 4,161.02/70.45
  6. Step 6: Final answer
    x = 59.06

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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.