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Finding the Fourth Proportional to 162.58, 224.10 and 107.29

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Solution

The fourth proportional to 162.58, 224.10 and 107.29 is: 147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.58 : 224.10 = 107.29 : x
  2. Step 2: Convert to fraction form
    162.58/224.10 = 107.29/x
  3. Step 3: Cross multiply
    162.58x = 224.10 × 107.29
  4. Step 4: Simplify right side
    162.58x = 24,043.15
  5. Step 5: Solve for x
    x = 24,043.15/162.58
  6. Step 6: Final answer
    x = 147.89

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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.