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Finding the Fourth Proportional to 46.84, 64.61 and 28.16

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Solution

The fourth proportional to 46.84, 64.61 and 28.16 is: 38.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.84 : 64.61 = 28.16 : x
  2. Step 2: Convert to fraction form
    46.84/64.61 = 28.16/x
  3. Step 3: Cross multiply
    46.84x = 64.61 × 28.16
  4. Step 4: Simplify right side
    46.84x = 1,819.42
  5. Step 5: Solve for x
    x = 1,819.42/46.84
  6. Step 6: Final answer
    x = 38.84

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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.