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Finding the Fourth Proportional to 63.06, 94.29 and 45

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Solution

The fourth proportional to 63.06, 94.29 and 45 is: 67.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.06 : 94.29 = 45 : x
  2. Step 2: Convert to fraction form
    63.06/94.29 = 45/x
  3. Step 3: Cross multiply
    63.06x = 94.29 × 45
  4. Step 4: Simplify right side
    63.06x = 4,243.05
  5. Step 5: Solve for x
    x = 4,243.05/63.06
  6. Step 6: Final answer
    x = 67.29

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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.