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Finding the Fourth Proportional to 46.58, 64.28 and 28.16

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Solution

The fourth proportional to 46.58, 64.28 and 28.16 is: 38.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.58 : 64.28 = 28.16 : x
  2. Step 2: Convert to fraction form
    46.58/64.28 = 28.16/x
  3. Step 3: Cross multiply
    46.58x = 64.28 × 28.16
  4. Step 4: Simplify right side
    46.58x = 1,809.66
  5. Step 5: Solve for x
    x = 1,809.66/46.58
  6. Step 6: Final answer
    x = 38.85

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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.