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Finding the Fourth Proportional to 160.56, 241.05 and 99.48

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Solution

The fourth proportional to 160.56, 241.05 and 99.48 is: 149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 241.05 = 99.48 : x
  2. Step 2: Convert to fraction form
    160.56/241.05 = 99.48/x
  3. Step 3: Cross multiply
    160.56x = 241.05 × 99.48
  4. Step 4: Simplify right side
    160.56x = 23,979.65
  5. Step 5: Solve for x
    x = 23,979.65/160.56
  6. Step 6: Final answer
    x = 149.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.