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Finding the Fourth Proportional to 100.08, 149.72 and 82.67

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Solution

The fourth proportional to 100.08, 149.72 and 82.67 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.08 : 149.72 = 82.67 : x
  2. Step 2: Convert to fraction form
    100.08/149.72 = 82.67/x
  3. Step 3: Cross multiply
    100.08x = 149.72 × 82.67
  4. Step 4: Simplify right side
    100.08x = 12,376.19
  5. Step 5: Solve for x
    x = 12,376.19/100.08
  6. Step 6: Final answer
    x = 123.66

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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.