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Finding the Fourth Proportional to 55.58, 83.73 and 54.50

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Solution

The fourth proportional to 55.58, 83.73 and 54.50 is: 82.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.58 : 83.73 = 54.50 : x
  2. Step 2: Convert to fraction form
    55.58/83.73 = 54.50/x
  3. Step 3: Cross multiply
    55.58x = 83.73 × 54.50
  4. Step 4: Simplify right side
    55.58x = 4,563.07
  5. Step 5: Solve for x
    x = 4,563.07/55.58
  6. Step 6: Final answer
    x = 82.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.