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Finding the Fourth Proportional to 162.96, 224.40 and 111.12

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Solution

The fourth proportional to 162.96, 224.40 and 111.12 is: 153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 224.40 = 111.12 : x
  2. Step 2: Convert to fraction form
    162.96/224.40 = 111.12/x
  3. Step 3: Cross multiply
    162.96x = 224.40 × 111.12
  4. Step 4: Simplify right side
    162.96x = 24,935.33
  5. Step 5: Solve for x
    x = 24,935.33/162.96
  6. Step 6: Final answer
    x = 153.02

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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.