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Finding the Fourth Proportional to 53.06, 73.14 and 41.38

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Solution

The fourth proportional to 53.06, 73.14 and 41.38 is: 57.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 73.14 = 41.38 : x
  2. Step 2: Convert to fraction form
    53.06/73.14 = 41.38/x
  3. Step 3: Cross multiply
    53.06x = 73.14 × 41.38
  4. Step 4: Simplify right side
    53.06x = 3,026.20
  5. Step 5: Solve for x
    x = 3,026.20/53.06
  6. Step 6: Final answer
    x = 57.04

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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.