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Finding the Fourth Proportional to 53.26, 73.50 and 29.94

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Solution

The fourth proportional to 53.26, 73.50 and 29.94 is: 41.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.26 : 73.50 = 29.94 : x
  2. Step 2: Convert to fraction form
    53.26/73.50 = 29.94/x
  3. Step 3: Cross multiply
    53.26x = 73.50 × 29.94
  4. Step 4: Simplify right side
    53.26x = 2,200.59
  5. Step 5: Solve for x
    x = 2,200.59/53.26
  6. Step 6: Final answer
    x = 41.32

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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.