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Finding the Fourth Proportional to 180.01, 270.02 and 64.46

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Solution

The fourth proportional to 180.01, 270.02 and 64.46 is: 96.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.01 : 270.02 = 64.46 : x
  2. Step 2: Convert to fraction form
    180.01/270.02 = 64.46/x
  3. Step 3: Cross multiply
    180.01x = 270.02 × 64.46
  4. Step 4: Simplify right side
    180.01x = 17,404.30
  5. Step 5: Solve for x
    x = 17,404.30/180.01
  6. Step 6: Final answer
    x = 96.68

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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.