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Finding the Fourth Proportional to 72.64, 107.44 and 72.64

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Solution

The fourth proportional to 72.64, 107.44 and 72.64 is: 107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.64 : 107.44 = 72.64 : x
  2. Step 2: Convert to fraction form
    72.64/107.44 = 72.64/x
  3. Step 3: Cross multiply
    72.64x = 107.44 × 72.64
  4. Step 4: Simplify right side
    72.64x = 7,804.44
  5. Step 5: Solve for x
    x = 7,804.44/72.64
  6. Step 6: Final answer
    x = 107.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.