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Finding the Fourth Proportional to 162.65, 224.07 and 113.44

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Solution

The fourth proportional to 162.65, 224.07 and 113.44 is: 156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.65 : 224.07 = 113.44 : x
  2. Step 2: Convert to fraction form
    162.65/224.07 = 113.44/x
  3. Step 3: Cross multiply
    162.65x = 224.07 × 113.44
  4. Step 4: Simplify right side
    162.65x = 25,417.38
  5. Step 5: Solve for x
    x = 25,417.38/162.65
  6. Step 6: Final answer
    x = 156.28

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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.