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Finding the Fourth Proportional to 161.48, 241.74 and 106.53

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Solution

The fourth proportional to 161.48, 241.74 and 106.53 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.48 : 241.74 = 106.53 : x
  2. Step 2: Convert to fraction form
    161.48/241.74 = 106.53/x
  3. Step 3: Cross multiply
    161.48x = 241.74 × 106.53
  4. Step 4: Simplify right side
    161.48x = 25,752.16
  5. Step 5: Solve for x
    x = 25,752.16/161.48
  6. Step 6: Final answer
    x = 159.48

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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.