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Finding the Fourth Proportional to 35.47, 52.90 and 33.19

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Solution

The fourth proportional to 35.47, 52.90 and 33.19 is: 49.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.47 : 52.90 = 33.19 : x
  2. Step 2: Convert to fraction form
    35.47/52.90 = 33.19/x
  3. Step 3: Cross multiply
    35.47x = 52.90 × 33.19
  4. Step 4: Simplify right side
    35.47x = 1,755.75
  5. Step 5: Solve for x
    x = 1,755.75/35.47
  6. Step 6: Final answer
    x = 49.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.