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Finding the Fourth Proportional to 162.64, 243.64 and 77.04

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Solution

The fourth proportional to 162.64, 243.64 and 77.04 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.64 : 243.64 = 77.04 : x
  2. Step 2: Convert to fraction form
    162.64/243.64 = 77.04/x
  3. Step 3: Cross multiply
    162.64x = 243.64 × 77.04
  4. Step 4: Simplify right side
    162.64x = 18,770.03
  5. Step 5: Solve for x
    x = 18,770.03/162.64
  6. Step 6: Final answer
    x = 115.41

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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.