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Finding the Fourth Proportional to 97.10, 133.97 and 57.74

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Solution

The fourth proportional to 97.10, 133.97 and 57.74 is: 79.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.10 : 133.97 = 57.74 : x
  2. Step 2: Convert to fraction form
    97.10/133.97 = 57.74/x
  3. Step 3: Cross multiply
    97.10x = 133.97 × 57.74
  4. Step 4: Simplify right side
    97.10x = 7,735.91
  5. Step 5: Solve for x
    x = 7,735.91/97.10
  6. Step 6: Final answer
    x = 79.67

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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.