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Finding the Fourth Proportional to 32.75, 48.88 and 31.94

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Solution

The fourth proportional to 32.75, 48.88 and 31.94 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.75 : 48.88 = 31.94 : x
  2. Step 2: Convert to fraction form
    32.75/48.88 = 31.94/x
  3. Step 3: Cross multiply
    32.75x = 48.88 × 31.94
  4. Step 4: Simplify right side
    32.75x = 1,561.39
  5. Step 5: Solve for x
    x = 1,561.39/32.75
  6. Step 6: Final answer
    x = 47.67

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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.