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Finding the Fourth Proportional to 83.01, 114.37 and 78.46

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Solution

The fourth proportional to 83.01, 114.37 and 78.46 is: 108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.01 : 114.37 = 78.46 : x
  2. Step 2: Convert to fraction form
    83.01/114.37 = 78.46/x
  3. Step 3: Cross multiply
    83.01x = 114.37 × 78.46
  4. Step 4: Simplify right side
    83.01x = 8,973.47
  5. Step 5: Solve for x
    x = 8,973.47/83.01
  6. Step 6: Final answer
    x = 108.10

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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.