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Finding the Fourth Proportional to 46.51, 69.75 and 43.31

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Solution

The fourth proportional to 46.51, 69.75 and 43.31 is: 64.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.51 : 69.75 = 43.31 : x
  2. Step 2: Convert to fraction form
    46.51/69.75 = 43.31/x
  3. Step 3: Cross multiply
    46.51x = 69.75 × 43.31
  4. Step 4: Simplify right side
    46.51x = 3,021.05
  5. Step 5: Solve for x
    x = 3,021.05/46.51
  6. Step 6: Final answer
    x = 64.96

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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.