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Finding the Fourth Proportional to 35.67, 49.15 and 29.57

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Solution

The fourth proportional to 35.67, 49.15 and 29.57 is: 40.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.67 : 49.15 = 29.57 : x
  2. Step 2: Convert to fraction form
    35.67/49.15 = 29.57/x
  3. Step 3: Cross multiply
    35.67x = 49.15 × 29.57
  4. Step 4: Simplify right side
    35.67x = 1,453.37
  5. Step 5: Solve for x
    x = 1,453.37/35.67
  6. Step 6: Final answer
    x = 40.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.