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Finding the Fourth Proportional to 38.94, 58.40 and 38.40

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Solution

The fourth proportional to 38.94, 58.40 and 38.40 is: 57.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.94 : 58.40 = 38.40 : x
  2. Step 2: Convert to fraction form
    38.94/58.40 = 38.40/x
  3. Step 3: Cross multiply
    38.94x = 58.40 × 38.40
  4. Step 4: Simplify right side
    38.94x = 2,242.56
  5. Step 5: Solve for x
    x = 2,242.56/38.94
  6. Step 6: Final answer
    x = 57.59

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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.