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Finding the Fourth Proportional to 70.67, 97.54 and 41.56

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Solution

The fourth proportional to 70.67, 97.54 and 41.56 is: 57.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.67 : 97.54 = 41.56 : x
  2. Step 2: Convert to fraction form
    70.67/97.54 = 41.56/x
  3. Step 3: Cross multiply
    70.67x = 97.54 × 41.56
  4. Step 4: Simplify right side
    70.67x = 4,053.41
  5. Step 5: Solve for x
    x = 4,053.41/70.67
  6. Step 6: Final answer
    x = 57.35

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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.