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Finding the Fourth Proportional to 55.87, 76.93 and 53.56

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Solution

The fourth proportional to 55.87, 76.93 and 53.56 is: 73.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.87 : 76.93 = 53.56 : x
  2. Step 2: Convert to fraction form
    55.87/76.93 = 53.56/x
  3. Step 3: Cross multiply
    55.87x = 76.93 × 53.56
  4. Step 4: Simplify right side
    55.87x = 4,120.68
  5. Step 5: Solve for x
    x = 4,120.68/55.87
  6. Step 6: Final answer
    x = 73.75

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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.