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Finding the Fourth Proportional to 55.24, 76.16 and 35.84

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Solution

The fourth proportional to 55.24, 76.16 and 35.84 is: 49.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.24 : 76.16 = 35.84 : x
  2. Step 2: Convert to fraction form
    55.24/76.16 = 35.84/x
  3. Step 3: Cross multiply
    55.24x = 76.16 × 35.84
  4. Step 4: Simplify right side
    55.24x = 2,729.57
  5. Step 5: Solve for x
    x = 2,729.57/55.24
  6. Step 6: Final answer
    x = 49.41

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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.