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Finding the Fourth Proportional to 76.07, 104.76 and 75.67

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Solution

The fourth proportional to 76.07, 104.76 and 75.67 is: 104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.07 : 104.76 = 75.67 : x
  2. Step 2: Convert to fraction form
    76.07/104.76 = 75.67/x
  3. Step 3: Cross multiply
    76.07x = 104.76 × 75.67
  4. Step 4: Simplify right side
    76.07x = 7,926.93
  5. Step 5: Solve for x
    x = 7,926.93/76.07
  6. Step 6: Final answer
    x = 104.20

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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.