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Finding the Fourth Proportional to 107.31, 148.14 and 78.25

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Solution

The fourth proportional to 107.31, 148.14 and 78.25 is: 108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.31 : 148.14 = 78.25 : x
  2. Step 2: Convert to fraction form
    107.31/148.14 = 78.25/x
  3. Step 3: Cross multiply
    107.31x = 148.14 × 78.25
  4. Step 4: Simplify right side
    107.31x = 11,591.96
  5. Step 5: Solve for x
    x = 11,591.96/107.31
  6. Step 6: Final answer
    x = 108.02

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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.