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Finding the Fourth Proportional to 35.88, 54.03 and 30.21

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Solution

The fourth proportional to 35.88, 54.03 and 30.21 is: 45.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.88 : 54.03 = 30.21 : x
  2. Step 2: Convert to fraction form
    35.88/54.03 = 30.21/x
  3. Step 3: Cross multiply
    35.88x = 54.03 × 30.21
  4. Step 4: Simplify right side
    35.88x = 1,632.32
  5. Step 5: Solve for x
    x = 1,632.32/35.88
  6. Step 6: Final answer
    x = 45.49

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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.