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Finding the Fourth Proportional to 160.70, 221.68 and 131.54

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Solution

The fourth proportional to 160.70, 221.68 and 131.54 is: 181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.70 : 221.68 = 131.54 : x
  2. Step 2: Convert to fraction form
    160.70/221.68 = 131.54/x
  3. Step 3: Cross multiply
    160.70x = 221.68 × 131.54
  4. Step 4: Simplify right side
    160.70x = 29,159.79
  5. Step 5: Solve for x
    x = 29,159.79/160.70
  6. Step 6: Final answer
    x = 181.45

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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.