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Finding the Fourth Proportional to 53.83, 74.19 and 41.55

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Solution

The fourth proportional to 53.83, 74.19 and 41.55 is: 57.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.83 : 74.19 = 41.55 : x
  2. Step 2: Convert to fraction form
    53.83/74.19 = 41.55/x
  3. Step 3: Cross multiply
    53.83x = 74.19 × 41.55
  4. Step 4: Simplify right side
    53.83x = 3,082.59
  5. Step 5: Solve for x
    x = 3,082.59/53.83
  6. Step 6: Final answer
    x = 57.27

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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.