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Finding the Fourth Proportional to 78.14, 107.76 and 74.12

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Solution

The fourth proportional to 78.14, 107.76 and 74.12 is: 102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.14 : 107.76 = 74.12 : x
  2. Step 2: Convert to fraction form
    78.14/107.76 = 74.12/x
  3. Step 3: Cross multiply
    78.14x = 107.76 × 74.12
  4. Step 4: Simplify right side
    78.14x = 7,986.28
  5. Step 5: Solve for x
    x = 7,986.28/78.14
  6. Step 6: Final answer
    x = 102.21

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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.