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Finding the Fourth Proportional to 76.16, 105.84 and 75.28

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Solution

The fourth proportional to 76.16, 105.84 and 75.28 is: 104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 105.84 = 75.28 : x
  2. Step 2: Convert to fraction form
    76.16/105.84 = 75.28/x
  3. Step 3: Cross multiply
    76.16x = 105.84 × 75.28
  4. Step 4: Simplify right side
    76.16x = 7,967.64
  5. Step 5: Solve for x
    x = 7,967.64/76.16
  6. Step 6: Final answer
    x = 104.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.