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Finding the Fourth Proportional to 160.21, 220.82 and 130.60

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Solution

The fourth proportional to 160.21, 220.82 and 130.60 is: 180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.21 : 220.82 = 130.60 : x
  2. Step 2: Convert to fraction form
    160.21/220.82 = 130.60/x
  3. Step 3: Cross multiply
    160.21x = 220.82 × 130.60
  4. Step 4: Simplify right side
    160.21x = 28,839.09
  5. Step 5: Solve for x
    x = 28,839.09/160.21
  6. Step 6: Final answer
    x = 180.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.