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Finding the Fourth Proportional to 97.70, 138.41 and 97.70

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Solution

The fourth proportional to 97.70, 138.41 and 97.70 is: 138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.70 : 138.41 = 97.70 : x
  2. Step 2: Convert to fraction form
    97.70/138.41 = 97.70/x
  3. Step 3: Cross multiply
    97.70x = 138.41 × 97.70
  4. Step 4: Simplify right side
    97.70x = 13,522.66
  5. Step 5: Solve for x
    x = 13,522.66/97.70
  6. Step 6: Final answer
    x = 138.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.