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Finding the Fourth Proportional to 162.32, 243.46 and 52.63

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Solution

The fourth proportional to 162.32, 243.46 and 52.63 is: 78.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.32 : 243.46 = 52.63 : x
  2. Step 2: Convert to fraction form
    162.32/243.46 = 52.63/x
  3. Step 3: Cross multiply
    162.32x = 243.46 × 52.63
  4. Step 4: Simplify right side
    162.32x = 12,813.83
  5. Step 5: Solve for x
    x = 12,813.83/162.32
  6. Step 6: Final answer
    x = 78.94

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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.