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Finding the Fourth Proportional to 162.53, 224.24 and 96.14

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Solution

The fourth proportional to 162.53, 224.24 and 96.14 is: 132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.53 : 224.24 = 96.14 : x
  2. Step 2: Convert to fraction form
    162.53/224.24 = 96.14/x
  3. Step 3: Cross multiply
    162.53x = 224.24 × 96.14
  4. Step 4: Simplify right side
    162.53x = 21,558.06
  5. Step 5: Solve for x
    x = 21,558.06/162.53
  6. Step 6: Final answer
    x = 132.64

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Why These Related Problems?

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