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Finding the Fourth Proportional to 55.49, 76.26 and 45.11

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Solution

The fourth proportional to 55.49, 76.26 and 45.11 is: 61.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.49 : 76.26 = 45.11 : x
  2. Step 2: Convert to fraction form
    55.49/76.26 = 45.11/x
  3. Step 3: Cross multiply
    55.49x = 76.26 × 45.11
  4. Step 4: Simplify right side
    55.49x = 3,440.09
  5. Step 5: Solve for x
    x = 3,440.09/55.49
  6. Step 6: Final answer
    x = 61.99

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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.