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Finding the Fourth Proportional to 161.32, 242 and 53.07

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Solution

The fourth proportional to 161.32, 242 and 53.07 is: 79.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.32 : 242 = 53.07 : x
  2. Step 2: Convert to fraction form
    161.32/242 = 53.07/x
  3. Step 3: Cross multiply
    161.32x = 242 × 53.07
  4. Step 4: Simplify right side
    161.32x = 12,842.94
  5. Step 5: Solve for x
    x = 12,842.94/161.32
  6. Step 6: Final answer
    x = 79.61

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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.