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Finding the Fourth Proportional to 160.06, 220.14 and 130.18

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Solution

The fourth proportional to 160.06, 220.14 and 130.18 is: 179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.06 : 220.14 = 130.18 : x
  2. Step 2: Convert to fraction form
    160.06/220.14 = 130.18/x
  3. Step 3: Cross multiply
    160.06x = 220.14 × 130.18
  4. Step 4: Simplify right side
    160.06x = 28,657.83
  5. Step 5: Solve for x
    x = 28,657.83/160.06
  6. Step 6: Final answer
    x = 179.04

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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.