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Finding the Fourth Proportional to 83.37, 114.93 and 57.09

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Solution

The fourth proportional to 83.37, 114.93 and 57.09 is: 78.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.37 : 114.93 = 57.09 : x
  2. Step 2: Convert to fraction form
    83.37/114.93 = 57.09/x
  3. Step 3: Cross multiply
    83.37x = 114.93 × 57.09
  4. Step 4: Simplify right side
    83.37x = 6,561.35
  5. Step 5: Solve for x
    x = 6,561.35/83.37
  6. Step 6: Final answer
    x = 78.70

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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.