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Finding the Fourth Proportional to 162.02, 223.64 and 115.42

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Solution

The fourth proportional to 162.02, 223.64 and 115.42 is: 159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.02 : 223.64 = 115.42 : x
  2. Step 2: Convert to fraction form
    162.02/223.64 = 115.42/x
  3. Step 3: Cross multiply
    162.02x = 223.64 × 115.42
  4. Step 4: Simplify right side
    162.02x = 25,812.53
  5. Step 5: Solve for x
    x = 25,812.53/162.02
  6. Step 6: Final answer
    x = 159.32

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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.