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Finding the Fourth Proportional to 70.49, 97.22 and 51.82

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Solution

The fourth proportional to 70.49, 97.22 and 51.82 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.49 : 97.22 = 51.82 : x
  2. Step 2: Convert to fraction form
    70.49/97.22 = 51.82/x
  3. Step 3: Cross multiply
    70.49x = 97.22 × 51.82
  4. Step 4: Simplify right side
    70.49x = 5,037.94
  5. Step 5: Solve for x
    x = 5,037.94/70.49
  6. Step 6: Final answer
    x = 71.47

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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.