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Finding the Fourth Proportional to 160.17, 220.62 and 110.94

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Solution

The fourth proportional to 160.17, 220.62 and 110.94 is: 152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.17 : 220.62 = 110.94 : x
  2. Step 2: Convert to fraction form
    160.17/220.62 = 110.94/x
  3. Step 3: Cross multiply
    160.17x = 220.62 × 110.94
  4. Step 4: Simplify right side
    160.17x = 24,475.58
  5. Step 5: Solve for x
    x = 24,475.58/160.17
  6. Step 6: Final answer
    x = 152.81

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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.