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Finding the Fourth Proportional to 58, 80.04 and 32.13

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Solution

The fourth proportional to 58, 80.04 and 32.13 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58 : 80.04 = 32.13 : x
  2. Step 2: Convert to fraction form
    58/80.04 = 32.13/x
  3. Step 3: Cross multiply
    58x = 80.04 × 32.13
  4. Step 4: Simplify right side
    58x = 2,571.69
  5. Step 5: Solve for x
    x = 2,571.69/58
  6. Step 6: Final answer
    x = 44.34

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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.