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Finding the Fourth Proportional to 70.74, 97.74 and 56.30

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Solution

The fourth proportional to 70.74, 97.74 and 56.30 is: 77.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.74 : 97.74 = 56.30 : x
  2. Step 2: Convert to fraction form
    70.74/97.74 = 56.30/x
  3. Step 3: Cross multiply
    70.74x = 97.74 × 56.30
  4. Step 4: Simplify right side
    70.74x = 5,502.27
  5. Step 5: Solve for x
    x = 5,502.27/70.74
  6. Step 6: Final answer
    x = 77.78

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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.