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Finding the Fourth Proportional to 162.62, 243.90 and 65.17

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Solution

The fourth proportional to 162.62, 243.90 and 65.17 is: 97.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.62 : 243.90 = 65.17 : x
  2. Step 2: Convert to fraction form
    162.62/243.90 = 65.17/x
  3. Step 3: Cross multiply
    162.62x = 243.90 × 65.17
  4. Step 4: Simplify right side
    162.62x = 15,893.74
  5. Step 5: Solve for x
    x = 15,893.74/162.62
  6. Step 6: Final answer
    x = 97.74

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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.