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Finding the Fourth Proportional to 160.02, 220.38 and 129.06

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Solution

The fourth proportional to 160.02, 220.38 and 129.06 is: 177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.02 : 220.38 = 129.06 : x
  2. Step 2: Convert to fraction form
    160.02/220.38 = 129.06/x
  3. Step 3: Cross multiply
    160.02x = 220.38 × 129.06
  4. Step 4: Simplify right side
    160.02x = 28,442.24
  5. Step 5: Solve for x
    x = 28,442.24/160.02
  6. Step 6: Final answer
    x = 177.74

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Why These Related Problems?

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