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Finding the Fourth Proportional to 107.80, 148.64 and 78.80

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Solution

The fourth proportional to 107.80, 148.64 and 78.80 is: 108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.80 : 148.64 = 78.80 : x
  2. Step 2: Convert to fraction form
    107.80/148.64 = 78.80/x
  3. Step 3: Cross multiply
    107.80x = 148.64 × 78.80
  4. Step 4: Simplify right side
    107.80x = 11,712.83
  5. Step 5: Solve for x
    x = 11,712.83/107.80
  6. Step 6: Final answer
    x = 108.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.