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Finding the Fourth Proportional to 70.44, 97.11 and 51

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Solution

The fourth proportional to 70.44, 97.11 and 51 is: 70.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.44 : 97.11 = 51 : x
  2. Step 2: Convert to fraction form
    70.44/97.11 = 51/x
  3. Step 3: Cross multiply
    70.44x = 97.11 × 51
  4. Step 4: Simplify right side
    70.44x = 4,952.61
  5. Step 5: Solve for x
    x = 4,952.61/70.44
  6. Step 6: Final answer
    x = 70.31

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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.