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Finding the Fourth Proportional to 35.37, 52.74 and 31.95

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Solution

The fourth proportional to 35.37, 52.74 and 31.95 is: 47.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.37 : 52.74 = 31.95 : x
  2. Step 2: Convert to fraction form
    35.37/52.74 = 31.95/x
  3. Step 3: Cross multiply
    35.37x = 52.74 × 31.95
  4. Step 4: Simplify right side
    35.37x = 1,685.04
  5. Step 5: Solve for x
    x = 1,685.04/35.37
  6. Step 6: Final answer
    x = 47.64

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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.