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Finding the Fourth Proportional to 70.54, 97.44 and 59.74

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Solution

The fourth proportional to 70.54, 97.44 and 59.74 is: 82.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.54 : 97.44 = 59.74 : x
  2. Step 2: Convert to fraction form
    70.54/97.44 = 59.74/x
  3. Step 3: Cross multiply
    70.54x = 97.44 × 59.74
  4. Step 4: Simplify right side
    70.54x = 5,821.07
  5. Step 5: Solve for x
    x = 5,821.07/70.54
  6. Step 6: Final answer
    x = 82.52

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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.