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Finding the Fourth Proportional to 52.09, 71.91 and 32.69

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Solution

The fourth proportional to 52.09, 71.91 and 32.69 is: 45.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 71.91 = 32.69 : x
  2. Step 2: Convert to fraction form
    52.09/71.91 = 32.69/x
  3. Step 3: Cross multiply
    52.09x = 71.91 × 32.69
  4. Step 4: Simplify right side
    52.09x = 2,350.74
  5. Step 5: Solve for x
    x = 2,350.74/52.09
  6. Step 6: Final answer
    x = 45.13

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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.