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Finding the Fourth Proportional to 76.30, 113.93 and 71.98

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Solution

The fourth proportional to 76.30, 113.93 and 71.98 is: 107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.30 : 113.93 = 71.98 : x
  2. Step 2: Convert to fraction form
    76.30/113.93 = 71.98/x
  3. Step 3: Cross multiply
    76.30x = 113.93 × 71.98
  4. Step 4: Simplify right side
    76.30x = 8,200.68
  5. Step 5: Solve for x
    x = 8,200.68/76.30
  6. Step 6: Final answer
    x = 107.48

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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.