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Finding the Fourth Proportional to 38.40, 57.59 and 14.34

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Solution

The fourth proportional to 38.40, 57.59 and 14.34 is: 21.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.40 : 57.59 = 14.34 : x
  2. Step 2: Convert to fraction form
    38.40/57.59 = 14.34/x
  3. Step 3: Cross multiply
    38.40x = 57.59 × 14.34
  4. Step 4: Simplify right side
    38.40x = 826.04
  5. Step 5: Solve for x
    x = 826.04/38.40
  6. Step 6: Final answer
    x = 21.51

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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.