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Finding the Fourth Proportional to 161.51, 222.88 and 87.83

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Solution

The fourth proportional to 161.51, 222.88 and 87.83 is: 121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.51 : 222.88 = 87.83 : x
  2. Step 2: Convert to fraction form
    161.51/222.88 = 87.83/x
  3. Step 3: Cross multiply
    161.51x = 222.88 × 87.83
  4. Step 4: Simplify right side
    161.51x = 19,574.55
  5. Step 5: Solve for x
    x = 19,574.55/161.51
  6. Step 6: Final answer
    x = 121.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.