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Finding the Fourth Proportional to 55.58, 77.09 and 52.83

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Solution

The fourth proportional to 55.58, 77.09 and 52.83 is: 73.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.58 : 77.09 = 52.83 : x
  2. Step 2: Convert to fraction form
    55.58/77.09 = 52.83/x
  3. Step 3: Cross multiply
    55.58x = 77.09 × 52.83
  4. Step 4: Simplify right side
    55.58x = 4,072.40
  5. Step 5: Solve for x
    x = 4,072.40/55.58
  6. Step 6: Final answer
    x = 73.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.