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Finding the Fourth Proportional to 70.89, 97.82 and 49.07

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Solution

The fourth proportional to 70.89, 97.82 and 49.07 is: 67.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.89 : 97.82 = 49.07 : x
  2. Step 2: Convert to fraction form
    70.89/97.82 = 49.07/x
  3. Step 3: Cross multiply
    70.89x = 97.82 × 49.07
  4. Step 4: Simplify right side
    70.89x = 4,799.29
  5. Step 5: Solve for x
    x = 4,799.29/70.89
  6. Step 6: Final answer
    x = 67.70

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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.