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Finding the Fourth Proportional to 53.01, 73.14 and 32.29

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Solution

The fourth proportional to 53.01, 73.14 and 32.29 is: 44.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.01 : 73.14 = 32.29 : x
  2. Step 2: Convert to fraction form
    53.01/73.14 = 32.29/x
  3. Step 3: Cross multiply
    53.01x = 73.14 × 32.29
  4. Step 4: Simplify right side
    53.01x = 2,361.69
  5. Step 5: Solve for x
    x = 2,361.69/53.01
  6. Step 6: Final answer
    x = 44.56

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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.