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Finding the Fourth Proportional to 42.75, 64.02 and 30.67

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Solution

The fourth proportional to 42.75, 64.02 and 30.67 is: 45.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 64.02 = 30.67 : x
  2. Step 2: Convert to fraction form
    42.75/64.02 = 30.67/x
  3. Step 3: Cross multiply
    42.75x = 64.02 × 30.67
  4. Step 4: Simplify right side
    42.75x = 1,963.45
  5. Step 5: Solve for x
    x = 1,963.45/42.75
  6. Step 6: Final answer
    x = 45.93

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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.