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Finding the Fourth Proportional to 57.58, 86.33 and 27.14

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Solution

The fourth proportional to 57.58, 86.33 and 27.14 is: 40.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.58 : 86.33 = 27.14 : x
  2. Step 2: Convert to fraction form
    57.58/86.33 = 27.14/x
  3. Step 3: Cross multiply
    57.58x = 86.33 × 27.14
  4. Step 4: Simplify right side
    57.58x = 2,342.63
  5. Step 5: Solve for x
    x = 2,342.63/57.58
  6. Step 6: Final answer
    x = 40.69

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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.