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Finding the Fourth Proportional to 46.02, 69.43 and 46.02

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Solution

The fourth proportional to 46.02, 69.43 and 46.02 is: 69.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.02 : 69.43 = 46.02 : x
  2. Step 2: Convert to fraction form
    46.02/69.43 = 46.02/x
  3. Step 3: Cross multiply
    46.02x = 69.43 × 46.02
  4. Step 4: Simplify right side
    46.02x = 3,195.05
  5. Step 5: Solve for x
    x = 3,195.05/46.02
  6. Step 6: Final answer
    x = 69.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.