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Finding the Fourth Proportional to 76.50, 105.36 and 71.12

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Solution

The fourth proportional to 76.50, 105.36 and 71.12 is: 97.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 105.36 = 71.12 : x
  2. Step 2: Convert to fraction form
    76.50/105.36 = 71.12/x
  3. Step 3: Cross multiply
    76.50x = 105.36 × 71.12
  4. Step 4: Simplify right side
    76.50x = 7,493.07
  5. Step 5: Solve for x
    x = 7,493.07/76.50
  6. Step 6: Final answer
    x = 97.95

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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.