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Finding the Fourth Proportional to 70.85, 97.74 and 56.27

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Solution

The fourth proportional to 70.85, 97.74 and 56.27 is: 77.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.85 : 97.74 = 56.27 : x
  2. Step 2: Convert to fraction form
    70.85/97.74 = 56.27/x
  3. Step 3: Cross multiply
    70.85x = 97.74 × 56.27
  4. Step 4: Simplify right side
    70.85x = 5,499.83
  5. Step 5: Solve for x
    x = 5,499.83/70.85
  6. Step 6: Final answer
    x = 77.63

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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.