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Finding the Fourth Proportional to 70.93, 97.93 and 48.84

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Solution

The fourth proportional to 70.93, 97.93 and 48.84 is: 67.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.93 : 97.93 = 48.84 : x
  2. Step 2: Convert to fraction form
    70.93/97.93 = 48.84/x
  3. Step 3: Cross multiply
    70.93x = 97.93 × 48.84
  4. Step 4: Simplify right side
    70.93x = 4,782.41
  5. Step 5: Solve for x
    x = 4,782.41/70.93
  6. Step 6: Final answer
    x = 67.42

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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.