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Finding the Fourth Proportional to 160.65, 221.69 and 98.47

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Solution

The fourth proportional to 160.65, 221.69 and 98.47 is: 135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.65 : 221.69 = 98.47 : x
  2. Step 2: Convert to fraction form
    160.65/221.69 = 98.47/x
  3. Step 3: Cross multiply
    160.65x = 221.69 × 98.47
  4. Step 4: Simplify right side
    160.65x = 21,829.81
  5. Step 5: Solve for x
    x = 21,829.81/160.65
  6. Step 6: Final answer
    x = 135.88

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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.