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Finding the Fourth Proportional to 55.62, 75.78 and 55.44

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Solution

The fourth proportional to 55.62, 75.78 and 55.44 is: 75.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.62 : 75.78 = 55.44 : x
  2. Step 2: Convert to fraction form
    55.62/75.78 = 55.44/x
  3. Step 3: Cross multiply
    55.62x = 75.78 × 55.44
  4. Step 4: Simplify right side
    55.62x = 4,201.24
  5. Step 5: Solve for x
    x = 4,201.24/55.62
  6. Step 6: Final answer
    x = 75.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.