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Finding the Fourth Proportional to 55.28, 83.27 and 46.91

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Solution

The fourth proportional to 55.28, 83.27 and 46.91 is: 70.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.28 : 83.27 = 46.91 : x
  2. Step 2: Convert to fraction form
    55.28/83.27 = 46.91/x
  3. Step 3: Cross multiply
    55.28x = 83.27 × 46.91
  4. Step 4: Simplify right side
    55.28x = 3,906.20
  5. Step 5: Solve for x
    x = 3,906.20/55.28
  6. Step 6: Final answer
    x = 70.66

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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.