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Finding the Fourth Proportional to 161.34, 242.00 and 51.65

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Solution

The fourth proportional to 161.34, 242.00 and 51.65 is: 77.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.34 : 242.00 = 51.65 : x
  2. Step 2: Convert to fraction form
    161.34/242.00 = 51.65/x
  3. Step 3: Cross multiply
    161.34x = 242.00 × 51.65
  4. Step 4: Simplify right side
    161.34x = 12,497.83
  5. Step 5: Solve for x
    x = 12,497.83/161.34
  6. Step 6: Final answer
    x = 77.46

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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.