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Finding the Fourth Proportional to 53.09, 73.25 and 29.77

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Solution

The fourth proportional to 53.09, 73.25 and 29.77 is: 41.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.09 : 73.25 = 29.77 : x
  2. Step 2: Convert to fraction form
    53.09/73.25 = 29.77/x
  3. Step 3: Cross multiply
    53.09x = 73.25 × 29.77
  4. Step 4: Simplify right side
    53.09x = 2,180.65
  5. Step 5: Solve for x
    x = 2,180.65/53.09
  6. Step 6: Final answer
    x = 41.07

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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.