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Finding the Fourth Proportional to 180.02, 270.06 and 64.46

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Solution

The fourth proportional to 180.02, 270.06 and 64.46 is: 96.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 270.06 = 64.46 : x
  2. Step 2: Convert to fraction form
    180.02/270.06 = 64.46/x
  3. Step 3: Cross multiply
    180.02x = 270.06 × 64.46
  4. Step 4: Simplify right side
    180.02x = 17,406.40
  5. Step 5: Solve for x
    x = 17,406.40/180.02
  6. Step 6: Final answer
    x = 96.69

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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.