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Finding the Fourth Proportional to 105.64, 146 and 78.04

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Solution

The fourth proportional to 105.64, 146 and 78.04 is: 107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 146 = 78.04 : x
  2. Step 2: Convert to fraction form
    105.64/146 = 78.04/x
  3. Step 3: Cross multiply
    105.64x = 146 × 78.04
  4. Step 4: Simplify right side
    105.64x = 11,393.84
  5. Step 5: Solve for x
    x = 11,393.84/105.64
  6. Step 6: Final answer
    x = 107.86

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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.