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Finding the Fourth Proportional to 55.12, 82.56 and 43.63

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Solution

The fourth proportional to 55.12, 82.56 and 43.63 is: 65.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.12 : 82.56 = 43.63 : x
  2. Step 2: Convert to fraction form
    55.12/82.56 = 43.63/x
  3. Step 3: Cross multiply
    55.12x = 82.56 × 43.63
  4. Step 4: Simplify right side
    55.12x = 3,601.87
  5. Step 5: Solve for x
    x = 3,601.87/55.12
  6. Step 6: Final answer
    x = 65.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.