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Finding the Fourth Proportional to 70.98, 97.93 and 49.15

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Solution

The fourth proportional to 70.98, 97.93 and 49.15 is: 67.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.98 : 97.93 = 49.15 : x
  2. Step 2: Convert to fraction form
    70.98/97.93 = 49.15/x
  3. Step 3: Cross multiply
    70.98x = 97.93 × 49.15
  4. Step 4: Simplify right side
    70.98x = 4,813.26
  5. Step 5: Solve for x
    x = 4,813.26/70.98
  6. Step 6: Final answer
    x = 67.81

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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.