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Finding the Fourth Proportional to 53.75, 74.09 and 40.65

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Solution

The fourth proportional to 53.75, 74.09 and 40.65 is: 56.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.75 : 74.09 = 40.65 : x
  2. Step 2: Convert to fraction form
    53.75/74.09 = 40.65/x
  3. Step 3: Cross multiply
    53.75x = 74.09 × 40.65
  4. Step 4: Simplify right side
    53.75x = 3,011.56
  5. Step 5: Solve for x
    x = 3,011.56/53.75
  6. Step 6: Final answer
    x = 56.03

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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.