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Finding the Fourth Proportional to 180.04, 270.02 and 58.28

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Solution

The fourth proportional to 180.04, 270.02 and 58.28 is: 87.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 270.02 = 58.28 : x
  2. Step 2: Convert to fraction form
    180.04/270.02 = 58.28/x
  3. Step 3: Cross multiply
    180.04x = 270.02 × 58.28
  4. Step 4: Simplify right side
    180.04x = 15,736.77
  5. Step 5: Solve for x
    x = 15,736.77/180.04
  6. Step 6: Final answer
    x = 87.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.