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Finding the Fourth Proportional to 35.27, 53.00 and 30.20

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Solution

The fourth proportional to 35.27, 53.00 and 30.20 is: 45.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.27 : 53.00 = 30.20 : x
  2. Step 2: Convert to fraction form
    35.27/53.00 = 30.20/x
  3. Step 3: Cross multiply
    35.27x = 53.00 × 30.20
  4. Step 4: Simplify right side
    35.27x = 1,600.45
  5. Step 5: Solve for x
    x = 1,600.45/35.27
  6. Step 6: Final answer
    x = 45.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.