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Finding the Fourth Proportional to 162.05, 243.09 and 52.32

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Solution

The fourth proportional to 162.05, 243.09 and 52.32 is: 78.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.05 : 243.09 = 52.32 : x
  2. Step 2: Convert to fraction form
    162.05/243.09 = 52.32/x
  3. Step 3: Cross multiply
    162.05x = 243.09 × 52.32
  4. Step 4: Simplify right side
    162.05x = 12,719.58
  5. Step 5: Solve for x
    x = 12,719.58/162.05
  6. Step 6: Final answer
    x = 78.49

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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.