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Finding the Fourth Proportional to 162.30, 224.02 and 107.05

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Solution

The fourth proportional to 162.30, 224.02 and 107.05 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.30 : 224.02 = 107.05 : x
  2. Step 2: Convert to fraction form
    162.30/224.02 = 107.05/x
  3. Step 3: Cross multiply
    162.30x = 224.02 × 107.05
  4. Step 4: Simplify right side
    162.30x = 23,980.81
  5. Step 5: Solve for x
    x = 23,980.81/162.30
  6. Step 6: Final answer
    x = 147.75

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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.