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Finding the Fourth Proportional to 33.88, 51.08 and 30.10

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Solution

The fourth proportional to 33.88, 51.08 and 30.10 is: 45.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.88 : 51.08 = 30.10 : x
  2. Step 2: Convert to fraction form
    33.88/51.08 = 30.10/x
  3. Step 3: Cross multiply
    33.88x = 51.08 × 30.10
  4. Step 4: Simplify right side
    33.88x = 1,537.51
  5. Step 5: Solve for x
    x = 1,537.51/33.88
  6. Step 6: Final answer
    x = 45.38

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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.