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Finding the Fourth Proportional to 161.90, 242.53 and 113.16

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Solution

The fourth proportional to 161.90, 242.53 and 113.16 is: 169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.90 : 242.53 = 113.16 : x
  2. Step 2: Convert to fraction form
    161.90/242.53 = 113.16/x
  3. Step 3: Cross multiply
    161.90x = 242.53 × 113.16
  4. Step 4: Simplify right side
    161.90x = 27,445.32
  5. Step 5: Solve for x
    x = 27,445.32/161.90
  6. Step 6: Final answer
    x = 169.52

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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.