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Finding the Fourth Proportional to 55.39, 76.26 and 49.45

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Solution

The fourth proportional to 55.39, 76.26 and 49.45 is: 68.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.39 : 76.26 = 49.45 : x
  2. Step 2: Convert to fraction form
    55.39/76.26 = 49.45/x
  3. Step 3: Cross multiply
    55.39x = 76.26 × 49.45
  4. Step 4: Simplify right side
    55.39x = 3,771.06
  5. Step 5: Solve for x
    x = 3,771.06/55.39
  6. Step 6: Final answer
    x = 68.08

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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.