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Finding the Fourth Proportional to 83.03, 114.59 and 54

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Solution

The fourth proportional to 83.03, 114.59 and 54 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.03 : 114.59 = 54 : x
  2. Step 2: Convert to fraction form
    83.03/114.59 = 54/x
  3. Step 3: Cross multiply
    83.03x = 114.59 × 54
  4. Step 4: Simplify right side
    83.03x = 6,187.86
  5. Step 5: Solve for x
    x = 6,187.86/83.03
  6. Step 6: Final answer
    x = 74.53

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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.