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Finding the Fourth Proportional to 122.58, 183.63 and 97.91

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Solution

The fourth proportional to 122.58, 183.63 and 97.91 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.58 : 183.63 = 97.91 : x
  2. Step 2: Convert to fraction form
    122.58/183.63 = 97.91/x
  3. Step 3: Cross multiply
    122.58x = 183.63 × 97.91
  4. Step 4: Simplify right side
    122.58x = 17,978.30
  5. Step 5: Solve for x
    x = 17,978.30/122.58
  6. Step 6: Final answer
    x = 146.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.