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Finding the Fourth Proportional to 83, 114.36 and 66.44

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Solution

The fourth proportional to 83, 114.36 and 66.44 is: 91.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 114.36 = 66.44 : x
  2. Step 2: Convert to fraction form
    83/114.36 = 66.44/x
  3. Step 3: Cross multiply
    83x = 114.36 × 66.44
  4. Step 4: Simplify right side
    83x = 7,598.08
  5. Step 5: Solve for x
    x = 7,598.08/83
  6. Step 6: Final answer
    x = 91.54

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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.