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Finding the Fourth Proportional to 104.56, 144.32 and 78.32

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Solution

The fourth proportional to 104.56, 144.32 and 78.32 is: 108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.56 : 144.32 = 78.32 : x
  2. Step 2: Convert to fraction form
    104.56/144.32 = 78.32/x
  3. Step 3: Cross multiply
    104.56x = 144.32 × 78.32
  4. Step 4: Simplify right side
    104.56x = 11,303.14
  5. Step 5: Solve for x
    x = 11,303.14/104.56
  6. Step 6: Final answer
    x = 108.10

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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.