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Finding the Fourth Proportional to 76.70, 114.45 and 69.50

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Solution

The fourth proportional to 76.70, 114.45 and 69.50 is: 103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.70 : 114.45 = 69.50 : x
  2. Step 2: Convert to fraction form
    76.70/114.45 = 69.50/x
  3. Step 3: Cross multiply
    76.70x = 114.45 × 69.50
  4. Step 4: Simplify right side
    76.70x = 7,954.28
  5. Step 5: Solve for x
    x = 7,954.28/76.70
  6. Step 6: Final answer
    x = 103.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.