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Finding the Fourth Proportional to 53.06, 73.14 and 41.25

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Solution

The fourth proportional to 53.06, 73.14 and 41.25 is: 56.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 73.14 = 41.25 : x
  2. Step 2: Convert to fraction form
    53.06/73.14 = 41.25/x
  3. Step 3: Cross multiply
    53.06x = 73.14 × 41.25
  4. Step 4: Simplify right side
    53.06x = 3,017.03
  5. Step 5: Solve for x
    x = 3,017.03/53.06
  6. Step 6: Final answer
    x = 56.87

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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.