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Finding the Fourth Proportional to 55.06, 82.51 and 51.28

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Solution

The fourth proportional to 55.06, 82.51 and 51.28 is: 76.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.06 : 82.51 = 51.28 : x
  2. Step 2: Convert to fraction form
    55.06/82.51 = 51.28/x
  3. Step 3: Cross multiply
    55.06x = 82.51 × 51.28
  4. Step 4: Simplify right side
    55.06x = 4,231.11
  5. Step 5: Solve for x
    x = 4,231.11/55.06
  6. Step 6: Final answer
    x = 76.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.