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Finding the Fourth Proportional to 53.96, 74.33 and 49.86

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Solution

The fourth proportional to 53.96, 74.33 and 49.86 is: 68.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.96 : 74.33 = 49.86 : x
  2. Step 2: Convert to fraction form
    53.96/74.33 = 49.86/x
  3. Step 3: Cross multiply
    53.96x = 74.33 × 49.86
  4. Step 4: Simplify right side
    53.96x = 3,705.84
  5. Step 5: Solve for x
    x = 3,705.84/53.96
  6. Step 6: Final answer
    x = 68.68

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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.