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Finding the Fourth Proportional to 35.52, 53.24 and 30.98

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Solution

The fourth proportional to 35.52, 53.24 and 30.98 is: 46.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.52 : 53.24 = 30.98 : x
  2. Step 2: Convert to fraction form
    35.52/53.24 = 30.98/x
  3. Step 3: Cross multiply
    35.52x = 53.24 × 30.98
  4. Step 4: Simplify right side
    35.52x = 1,648.95
  5. Step 5: Solve for x
    x = 1,648.95/35.52
  6. Step 6: Final answer
    x = 46.42

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