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Finding the Fourth Proportional to 76.72, 105.93 and 53.37

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Solution

The fourth proportional to 76.72, 105.93 and 53.37 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 105.93 = 53.37 : x
  2. Step 2: Convert to fraction form
    76.72/105.93 = 53.37/x
  3. Step 3: Cross multiply
    76.72x = 105.93 × 53.37
  4. Step 4: Simplify right side
    76.72x = 5,653.22
  5. Step 5: Solve for x
    x = 5,653.22/76.72
  6. Step 6: Final answer
    x = 73.68

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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.