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Finding the Fourth Proportional to 53.07, 73.28 and 41.41

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Solution

The fourth proportional to 53.07, 73.28 and 41.41 is: 57.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.07 : 73.28 = 41.41 : x
  2. Step 2: Convert to fraction form
    53.07/73.28 = 41.41/x
  3. Step 3: Cross multiply
    53.07x = 73.28 × 41.41
  4. Step 4: Simplify right side
    53.07x = 3,034.26
  5. Step 5: Solve for x
    x = 3,034.26/53.07
  6. Step 6: Final answer
    x = 57.17

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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.