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Finding the Fourth Proportional to 33.60, 46.14 and 33.06

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Solution

The fourth proportional to 33.60, 46.14 and 33.06 is: 45.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.60 : 46.14 = 33.06 : x
  2. Step 2: Convert to fraction form
    33.60/46.14 = 33.06/x
  3. Step 3: Cross multiply
    33.60x = 46.14 × 33.06
  4. Step 4: Simplify right side
    33.60x = 1,525.39
  5. Step 5: Solve for x
    x = 1,525.39/33.60
  6. Step 6: Final answer
    x = 45.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.