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Finding the Fourth Proportional to 35.38, 52.98 and 25.22

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Solution

The fourth proportional to 35.38, 52.98 and 25.22 is: 37.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.38 : 52.98 = 25.22 : x
  2. Step 2: Convert to fraction form
    35.38/52.98 = 25.22/x
  3. Step 3: Cross multiply
    35.38x = 52.98 × 25.22
  4. Step 4: Simplify right side
    35.38x = 1,336.16
  5. Step 5: Solve for x
    x = 1,336.16/35.38
  6. Step 6: Final answer
    x = 37.77

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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.