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Finding the Fourth Proportional to 70.70, 97.49 and 57.53

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Solution

The fourth proportional to 70.70, 97.49 and 57.53 is: 79.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.70 : 97.49 = 57.53 : x
  2. Step 2: Convert to fraction form
    70.70/97.49 = 57.53/x
  3. Step 3: Cross multiply
    70.70x = 97.49 × 57.53
  4. Step 4: Simplify right side
    70.70x = 5,608.99
  5. Step 5: Solve for x
    x = 5,608.99/70.70
  6. Step 6: Final answer
    x = 79.34

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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.