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Finding the Fourth Proportional to 56.06, 76.73 and 55.82

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Solution

The fourth proportional to 56.06, 76.73 and 55.82 is: 76.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 76.73 = 55.82 : x
  2. Step 2: Convert to fraction form
    56.06/76.73 = 55.82/x
  3. Step 3: Cross multiply
    56.06x = 76.73 × 55.82
  4. Step 4: Simplify right side
    56.06x = 4,282.79
  5. Step 5: Solve for x
    x = 4,282.79/56.06
  6. Step 6: Final answer
    x = 76.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.