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Finding the Fourth Proportional to 53.20, 73.42 and 29.89

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Solution

The fourth proportional to 53.20, 73.42 and 29.89 is: 41.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.20 : 73.42 = 29.89 : x
  2. Step 2: Convert to fraction form
    53.20/73.42 = 29.89/x
  3. Step 3: Cross multiply
    53.20x = 73.42 × 29.89
  4. Step 4: Simplify right side
    53.20x = 2,194.52
  5. Step 5: Solve for x
    x = 2,194.52/53.20
  6. Step 6: Final answer
    x = 41.25

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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.