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Finding the Fourth Proportional to 46.23, 63.75 and 30.69

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Solution

The fourth proportional to 46.23, 63.75 and 30.69 is: 42.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.23 : 63.75 = 30.69 : x
  2. Step 2: Convert to fraction form
    46.23/63.75 = 30.69/x
  3. Step 3: Cross multiply
    46.23x = 63.75 × 30.69
  4. Step 4: Simplify right side
    46.23x = 1,956.49
  5. Step 5: Solve for x
    x = 1,956.49/46.23
  6. Step 6: Final answer
    x = 42.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.