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Finding the Fourth Proportional to 161.96, 242.96 and 53.72

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Solution

The fourth proportional to 161.96, 242.96 and 53.72 is: 80.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 242.96 = 53.72 : x
  2. Step 2: Convert to fraction form
    161.96/242.96 = 53.72/x
  3. Step 3: Cross multiply
    161.96x = 242.96 × 53.72
  4. Step 4: Simplify right side
    161.96x = 13,051.81
  5. Step 5: Solve for x
    x = 13,051.81/161.96
  6. Step 6: Final answer
    x = 80.59

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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.