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Finding the Fourth Proportional to 161.76, 242.64 and 76.24

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Solution

The fourth proportional to 161.76, 242.64 and 76.24 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.76 : 242.64 = 76.24 : x
  2. Step 2: Convert to fraction form
    161.76/242.64 = 76.24/x
  3. Step 3: Cross multiply
    161.76x = 242.64 × 76.24
  4. Step 4: Simplify right side
    161.76x = 18,498.87
  5. Step 5: Solve for x
    x = 18,498.87/161.76
  6. Step 6: Final answer
    x = 114.36

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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.