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Finding the Fourth Proportional to 57.42, 86.14 and 26.98

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Solution

The fourth proportional to 57.42, 86.14 and 26.98 is: 40.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 86.14 = 26.98 : x
  2. Step 2: Convert to fraction form
    57.42/86.14 = 26.98/x
  3. Step 3: Cross multiply
    57.42x = 86.14 × 26.98
  4. Step 4: Simplify right side
    57.42x = 2,324.06
  5. Step 5: Solve for x
    x = 2,324.06/57.42
  6. Step 6: Final answer
    x = 40.47

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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.