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Finding the Fourth Proportional to 75.89, 114.09 and 71.70

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Solution

The fourth proportional to 75.89, 114.09 and 71.70 is: 107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 114.09 = 71.70 : x
  2. Step 2: Convert to fraction form
    75.89/114.09 = 71.70/x
  3. Step 3: Cross multiply
    75.89x = 114.09 × 71.70
  4. Step 4: Simplify right side
    75.89x = 8,180.60
  5. Step 5: Solve for x
    x = 8,180.60/75.89
  6. Step 6: Final answer
    x = 107.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.