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Finding the Fourth Proportional to 38.61, 53.33 and 30.05

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Solution

The fourth proportional to 38.61, 53.33 and 30.05 is: 41.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.61 : 53.33 = 30.05 : x
  2. Step 2: Convert to fraction form
    38.61/53.33 = 30.05/x
  3. Step 3: Cross multiply
    38.61x = 53.33 × 30.05
  4. Step 4: Simplify right side
    38.61x = 1,602.57
  5. Step 5: Solve for x
    x = 1,602.57/38.61
  6. Step 6: Final answer
    x = 41.51

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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.