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Finding the Fourth Proportional to 162.30, 224.02 and 107.08

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Solution

The fourth proportional to 162.30, 224.02 and 107.08 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.30 : 224.02 = 107.08 : x
  2. Step 2: Convert to fraction form
    162.30/224.02 = 107.08/x
  3. Step 3: Cross multiply
    162.30x = 224.02 × 107.08
  4. Step 4: Simplify right side
    162.30x = 23,988.06
  5. Step 5: Solve for x
    x = 23,988.06/162.30
  6. Step 6: Final answer
    x = 147.80

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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.