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Finding the Fourth Proportional to 45.93, 63.42 and 33.66

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Solution

The fourth proportional to 45.93, 63.42 and 33.66 is: 46.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.93 : 63.42 = 33.66 : x
  2. Step 2: Convert to fraction form
    45.93/63.42 = 33.66/x
  3. Step 3: Cross multiply
    45.93x = 63.42 × 33.66
  4. Step 4: Simplify right side
    45.93x = 2,134.72
  5. Step 5: Solve for x
    x = 2,134.72/45.93
  6. Step 6: Final answer
    x = 46.48

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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.