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Finding the Fourth Proportional to 162.69, 243.88 and 65.17

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Solution

The fourth proportional to 162.69, 243.88 and 65.17 is: 97.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.69 : 243.88 = 65.17 : x
  2. Step 2: Convert to fraction form
    162.69/243.88 = 65.17/x
  3. Step 3: Cross multiply
    162.69x = 243.88 × 65.17
  4. Step 4: Simplify right side
    162.69x = 15,893.13
  5. Step 5: Solve for x
    x = 15,893.13/162.69
  6. Step 6: Final answer
    x = 97.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.