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Finding the Fourth Proportional to 34.43, 46.98 and 34.02

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Solution

The fourth proportional to 34.43, 46.98 and 34.02 is: 46.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.43 : 46.98 = 34.02 : x
  2. Step 2: Convert to fraction form
    34.43/46.98 = 34.02/x
  3. Step 3: Cross multiply
    34.43x = 46.98 × 34.02
  4. Step 4: Simplify right side
    34.43x = 1,598.26
  5. Step 5: Solve for x
    x = 1,598.26/34.43
  6. Step 6: Final answer
    x = 46.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.