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Finding the Fourth Proportional to 55.63, 82.94 and 55.55

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Solution

The fourth proportional to 55.63, 82.94 and 55.55 is: 82.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.63 : 82.94 = 55.55 : x
  2. Step 2: Convert to fraction form
    55.63/82.94 = 55.55/x
  3. Step 3: Cross multiply
    55.63x = 82.94 × 55.55
  4. Step 4: Simplify right side
    55.63x = 4,607.79
  5. Step 5: Solve for x
    x = 4,607.79/55.63
  6. Step 6: Final answer
    x = 82.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.