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Finding the Fourth Proportional to 122.91, 184.30 and 97.15

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Solution

The fourth proportional to 122.91, 184.30 and 97.15 is: 145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 184.30 = 97.15 : x
  2. Step 2: Convert to fraction form
    122.91/184.30 = 97.15/x
  3. Step 3: Cross multiply
    122.91x = 184.30 × 97.15
  4. Step 4: Simplify right side
    122.91x = 17,904.75
  5. Step 5: Solve for x
    x = 17,904.75/122.91
  6. Step 6: Final answer
    x = 145.67

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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.