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Finding the Fourth Proportional to 38.59, 53.16 and 38.14

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Solution

The fourth proportional to 38.59, 53.16 and 38.14 is: 52.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.59 : 53.16 = 38.14 : x
  2. Step 2: Convert to fraction form
    38.59/53.16 = 38.14/x
  3. Step 3: Cross multiply
    38.59x = 53.16 × 38.14
  4. Step 4: Simplify right side
    38.59x = 2,027.52
  5. Step 5: Solve for x
    x = 2,027.52/38.59
  6. Step 6: Final answer
    x = 52.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.