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Finding the Fourth Proportional to 78.16, 107.96 and 75.28

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Solution

The fourth proportional to 78.16, 107.96 and 75.28 is: 103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.16 : 107.96 = 75.28 : x
  2. Step 2: Convert to fraction form
    78.16/107.96 = 75.28/x
  3. Step 3: Cross multiply
    78.16x = 107.96 × 75.28
  4. Step 4: Simplify right side
    78.16x = 8,127.23
  5. Step 5: Solve for x
    x = 8,127.23/78.16
  6. Step 6: Final answer
    x = 103.98

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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.