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Finding the Fourth Proportional to 162.05, 242.84 and 111.02

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Solution

The fourth proportional to 162.05, 242.84 and 111.02 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.05 : 242.84 = 111.02 : x
  2. Step 2: Convert to fraction form
    162.05/242.84 = 111.02/x
  3. Step 3: Cross multiply
    162.05x = 242.84 × 111.02
  4. Step 4: Simplify right side
    162.05x = 26,959.16
  5. Step 5: Solve for x
    x = 26,959.16/162.05
  6. Step 6: Final answer
    x = 166.37

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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.