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Finding the Fourth Proportional to 55.56, 83.81 and 52.32

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Solution

The fourth proportional to 55.56, 83.81 and 52.32 is: 78.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.56 : 83.81 = 52.32 : x
  2. Step 2: Convert to fraction form
    55.56/83.81 = 52.32/x
  3. Step 3: Cross multiply
    55.56x = 83.81 × 52.32
  4. Step 4: Simplify right side
    55.56x = 4,384.94
  5. Step 5: Solve for x
    x = 4,384.94/55.56
  6. Step 6: Final answer
    x = 78.92

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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.