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Finding the Fourth Proportional to 46.58, 69.77 and 34.43

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Solution

The fourth proportional to 46.58, 69.77 and 34.43 is: 51.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.58 : 69.77 = 34.43 : x
  2. Step 2: Convert to fraction form
    46.58/69.77 = 34.43/x
  3. Step 3: Cross multiply
    46.58x = 69.77 × 34.43
  4. Step 4: Simplify right side
    46.58x = 2,402.21
  5. Step 5: Solve for x
    x = 2,402.21/46.58
  6. Step 6: Final answer
    x = 51.57

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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.