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Finding the Fourth Proportional to 83, 114.54 and 53.89

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Solution

The fourth proportional to 83, 114.54 and 53.89 is: 74.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 114.54 = 53.89 : x
  2. Step 2: Convert to fraction form
    83/114.54 = 53.89/x
  3. Step 3: Cross multiply
    83x = 114.54 × 53.89
  4. Step 4: Simplify right side
    83x = 6,172.56
  5. Step 5: Solve for x
    x = 6,172.56/83
  6. Step 6: Final answer
    x = 74.37

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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.