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Finding the Fourth Proportional to 53.41, 73.66 and 41.10

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Solution

The fourth proportional to 53.41, 73.66 and 41.10 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.41 : 73.66 = 41.10 : x
  2. Step 2: Convert to fraction form
    53.41/73.66 = 41.10/x
  3. Step 3: Cross multiply
    53.41x = 73.66 × 41.10
  4. Step 4: Simplify right side
    53.41x = 3,027.43
  5. Step 5: Solve for x
    x = 3,027.43/53.41
  6. Step 6: Final answer
    x = 56.68

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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.