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Finding the Fourth Proportional to 46.84, 64.62 and 28.42

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Solution

The fourth proportional to 46.84, 64.62 and 28.42 is: 39.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.84 : 64.62 = 28.42 : x
  2. Step 2: Convert to fraction form
    46.84/64.62 = 28.42/x
  3. Step 3: Cross multiply
    46.84x = 64.62 × 28.42
  4. Step 4: Simplify right side
    46.84x = 1,836.50
  5. Step 5: Solve for x
    x = 1,836.50/46.84
  6. Step 6: Final answer
    x = 39.21

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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.