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Finding the Fourth Proportional to 180.66, 270.77 and 65.01

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Solution

The fourth proportional to 180.66, 270.77 and 65.01 is: 97.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.66 : 270.77 = 65.01 : x
  2. Step 2: Convert to fraction form
    180.66/270.77 = 65.01/x
  3. Step 3: Cross multiply
    180.66x = 270.77 × 65.01
  4. Step 4: Simplify right side
    180.66x = 17,602.43
  5. Step 5: Solve for x
    x = 17,602.43/180.66
  6. Step 6: Final answer
    x = 97.43

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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.