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Finding the Fourth Proportional to 35.50, 52.94 and 33.02

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Solution

The fourth proportional to 35.50, 52.94 and 33.02 is: 49.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.50 : 52.94 = 33.02 : x
  2. Step 2: Convert to fraction form
    35.50/52.94 = 33.02/x
  3. Step 3: Cross multiply
    35.50x = 52.94 × 33.02
  4. Step 4: Simplify right side
    35.50x = 1,748.08
  5. Step 5: Solve for x
    x = 1,748.08/35.50
  6. Step 6: Final answer
    x = 49.24

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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.