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Finding the Fourth Proportional to 55.40, 76.47 and 41.59

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Solution

The fourth proportional to 55.40, 76.47 and 41.59 is: 57.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.40 : 76.47 = 41.59 : x
  2. Step 2: Convert to fraction form
    55.40/76.47 = 41.59/x
  3. Step 3: Cross multiply
    55.40x = 76.47 × 41.59
  4. Step 4: Simplify right side
    55.40x = 3,180.39
  5. Step 5: Solve for x
    x = 3,180.39/55.40
  6. Step 6: Final answer
    x = 57.41

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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.