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Finding the Fourth Proportional to 30.60, 46.16 and 27.62

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Solution

The fourth proportional to 30.60, 46.16 and 27.62 is: 41.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.60 : 46.16 = 27.62 : x
  2. Step 2: Convert to fraction form
    30.60/46.16 = 27.62/x
  3. Step 3: Cross multiply
    30.60x = 46.16 × 27.62
  4. Step 4: Simplify right side
    30.60x = 1,274.57
  5. Step 5: Solve for x
    x = 1,274.57/30.60
  6. Step 6: Final answer
    x = 41.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.