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Finding the Fourth Proportional to 162.52, 224.32 and 107.26

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Solution

The fourth proportional to 162.52, 224.32 and 107.26 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.52 : 224.32 = 107.26 : x
  2. Step 2: Convert to fraction form
    162.52/224.32 = 107.26/x
  3. Step 3: Cross multiply
    162.52x = 224.32 × 107.26
  4. Step 4: Simplify right side
    162.52x = 24,060.56
  5. Step 5: Solve for x
    x = 24,060.56/162.52
  6. Step 6: Final answer
    x = 148.05

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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.