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Finding the Fourth Proportional to 70.83, 97.77 and 49.05

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Solution

The fourth proportional to 70.83, 97.77 and 49.05 is: 67.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.83 : 97.77 = 49.05 : x
  2. Step 2: Convert to fraction form
    70.83/97.77 = 49.05/x
  3. Step 3: Cross multiply
    70.83x = 97.77 × 49.05
  4. Step 4: Simplify right side
    70.83x = 4,795.62
  5. Step 5: Solve for x
    x = 4,795.62/70.83
  6. Step 6: Final answer
    x = 67.71

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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.