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Finding the Fourth Proportional to 162.35, 223.87 and 107.02

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Solution

The fourth proportional to 162.35, 223.87 and 107.02 is: 147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.35 : 223.87 = 107.02 : x
  2. Step 2: Convert to fraction form
    162.35/223.87 = 107.02/x
  3. Step 3: Cross multiply
    162.35x = 223.87 × 107.02
  4. Step 4: Simplify right side
    162.35x = 23,957.82
  5. Step 5: Solve for x
    x = 23,957.82/162.35
  6. Step 6: Final answer
    x = 147.57

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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.