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Finding the Fourth Proportional to 35.09, 52.52 and 31.02

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Solution

The fourth proportional to 35.09, 52.52 and 31.02 is: 46.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.09 : 52.52 = 31.02 : x
  2. Step 2: Convert to fraction form
    35.09/52.52 = 31.02/x
  3. Step 3: Cross multiply
    35.09x = 52.52 × 31.02
  4. Step 4: Simplify right side
    35.09x = 1,629.02
  5. Step 5: Solve for x
    x = 1,629.02/35.09
  6. Step 6: Final answer
    x = 46.43

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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.