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Finding the Fourth Proportional to 162.08, 243.10 and 52.39

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Solution

The fourth proportional to 162.08, 243.10 and 52.39 is: 78.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.08 : 243.10 = 52.39 : x
  2. Step 2: Convert to fraction form
    162.08/243.10 = 52.39/x
  3. Step 3: Cross multiply
    162.08x = 243.10 × 52.39
  4. Step 4: Simplify right side
    162.08x = 12,736.38
  5. Step 5: Solve for x
    x = 12,736.38/162.08
  6. Step 6: Final answer
    x = 78.58

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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.