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Finding the Fourth Proportional to 180.12, 270.16 and 64.62

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Solution

The fourth proportional to 180.12, 270.16 and 64.62 is: 96.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 270.16 = 64.62 : x
  2. Step 2: Convert to fraction form
    180.12/270.16 = 64.62/x
  3. Step 3: Cross multiply
    180.12x = 270.16 × 64.62
  4. Step 4: Simplify right side
    180.12x = 17,457.74
  5. Step 5: Solve for x
    x = 17,457.74/180.12
  6. Step 6: Final answer
    x = 96.92

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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.