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Finding the Fourth Proportional to 42.97, 64.31 and 25.84

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Solution

The fourth proportional to 42.97, 64.31 and 25.84 is: 38.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.97 : 64.31 = 25.84 : x
  2. Step 2: Convert to fraction form
    42.97/64.31 = 25.84/x
  3. Step 3: Cross multiply
    42.97x = 64.31 × 25.84
  4. Step 4: Simplify right side
    42.97x = 1,661.64
  5. Step 5: Solve for x
    x = 1,661.64/42.97
  6. Step 6: Final answer
    x = 38.67

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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.