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Finding the Fourth Proportional to 162.56, 224.24 and 107.30

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Solution

The fourth proportional to 162.56, 224.24 and 107.30 is: 148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 224.24 = 107.30 : x
  2. Step 2: Convert to fraction form
    162.56/224.24 = 107.30/x
  3. Step 3: Cross multiply
    162.56x = 224.24 × 107.30
  4. Step 4: Simplify right side
    162.56x = 24,060.95
  5. Step 5: Solve for x
    x = 24,060.95/162.56
  6. Step 6: Final answer
    x = 148.01

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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.