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Finding the Fourth Proportional to 94.12, 129.84 and 72.25

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Solution

The fourth proportional to 94.12, 129.84 and 72.25 is: 99.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.12 : 129.84 = 72.25 : x
  2. Step 2: Convert to fraction form
    94.12/129.84 = 72.25/x
  3. Step 3: Cross multiply
    94.12x = 129.84 × 72.25
  4. Step 4: Simplify right side
    94.12x = 9,380.94
  5. Step 5: Solve for x
    x = 9,380.94/94.12
  6. Step 6: Final answer
    x = 99.67

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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.