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Finding the Fourth Proportional to 76.16, 104.26 and 74.72

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Solution

The fourth proportional to 76.16, 104.26 and 74.72 is: 102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 104.26 = 74.72 : x
  2. Step 2: Convert to fraction form
    76.16/104.26 = 74.72/x
  3. Step 3: Cross multiply
    76.16x = 104.26 × 74.72
  4. Step 4: Simplify right side
    76.16x = 7,790.31
  5. Step 5: Solve for x
    x = 7,790.31/76.16
  6. Step 6: Final answer
    x = 102.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.