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Finding the Fourth Proportional to 46.07, 68.78 and 39.23

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Solution

The fourth proportional to 46.07, 68.78 and 39.23 is: 58.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.07 : 68.78 = 39.23 : x
  2. Step 2: Convert to fraction form
    46.07/68.78 = 39.23/x
  3. Step 3: Cross multiply
    46.07x = 68.78 × 39.23
  4. Step 4: Simplify right side
    46.07x = 2,698.22
  5. Step 5: Solve for x
    x = 2,698.22/46.07
  6. Step 6: Final answer
    x = 58.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.