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Finding the Fourth Proportional to 55.43, 76.49 and 33.59

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Solution

The fourth proportional to 55.43, 76.49 and 33.59 is: 46.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.43 : 76.49 = 33.59 : x
  2. Step 2: Convert to fraction form
    55.43/76.49 = 33.59/x
  3. Step 3: Cross multiply
    55.43x = 76.49 × 33.59
  4. Step 4: Simplify right side
    55.43x = 2,569.74
  5. Step 5: Solve for x
    x = 2,569.74/55.43
  6. Step 6: Final answer
    x = 46.36

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