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Finding the Fourth Proportional to 76.06, 104.80 and 55.38

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Solution

The fourth proportional to 76.06, 104.80 and 55.38 is: 76.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.06 : 104.80 = 55.38 : x
  2. Step 2: Convert to fraction form
    76.06/104.80 = 55.38/x
  3. Step 3: Cross multiply
    76.06x = 104.80 × 55.38
  4. Step 4: Simplify right side
    76.06x = 5,803.82
  5. Step 5: Solve for x
    x = 5,803.82/76.06
  6. Step 6: Final answer
    x = 76.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.