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Finding the Fourth Proportional to 180.16, 270.27 and 64.61

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Solution

The fourth proportional to 180.16, 270.27 and 64.61 is: 96.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 270.27 = 64.61 : x
  2. Step 2: Convert to fraction form
    180.16/270.27 = 64.61/x
  3. Step 3: Cross multiply
    180.16x = 270.27 × 64.61
  4. Step 4: Simplify right side
    180.16x = 17,462.14
  5. Step 5: Solve for x
    x = 17,462.14/180.16
  6. Step 6: Final answer
    x = 96.93

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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.