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Finding the Fourth Proportional to 161.77, 242.48 and 64.24

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Solution

The fourth proportional to 161.77, 242.48 and 64.24 is: 96.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.77 : 242.48 = 64.24 : x
  2. Step 2: Convert to fraction form
    161.77/242.48 = 64.24/x
  3. Step 3: Cross multiply
    161.77x = 242.48 × 64.24
  4. Step 4: Simplify right side
    161.77x = 15,577.38
  5. Step 5: Solve for x
    x = 15,577.38/161.77
  6. Step 6: Final answer
    x = 96.29

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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.