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Finding the Fourth Proportional to 162.37, 224.03 and 96.89

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Solution

The fourth proportional to 162.37, 224.03 and 96.89 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.37 : 224.03 = 96.89 : x
  2. Step 2: Convert to fraction form
    162.37/224.03 = 96.89/x
  3. Step 3: Cross multiply
    162.37x = 224.03 × 96.89
  4. Step 4: Simplify right side
    162.37x = 21,706.27
  5. Step 5: Solve for x
    x = 21,706.27/162.37
  6. Step 6: Final answer
    x = 133.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.