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Finding the Fourth Proportional to 46.89, 64.82 and 37.78

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Solution

The fourth proportional to 46.89, 64.82 and 37.78 is: 52.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.89 : 64.82 = 37.78 : x
  2. Step 2: Convert to fraction form
    46.89/64.82 = 37.78/x
  3. Step 3: Cross multiply
    46.89x = 64.82 × 37.78
  4. Step 4: Simplify right side
    46.89x = 2,448.83
  5. Step 5: Solve for x
    x = 2,448.83/46.89
  6. Step 6: Final answer
    x = 52.23

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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.