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Finding the Fourth Proportional to 55.78, 84.16 and 55.78

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Solution

The fourth proportional to 55.78, 84.16 and 55.78 is: 84.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.78 : 84.16 = 55.78 : x
  2. Step 2: Convert to fraction form
    55.78/84.16 = 55.78/x
  3. Step 3: Cross multiply
    55.78x = 84.16 × 55.78
  4. Step 4: Simplify right side
    55.78x = 4,694.30
  5. Step 5: Solve for x
    x = 4,694.30/55.78
  6. Step 6: Final answer
    x = 84.16

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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.