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Finding the Fourth Proportional to 123.42, 170.32 and 118.22

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Solution

The fourth proportional to 123.42, 170.32 and 118.22 is: 163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.42 : 170.32 = 118.22 : x
  2. Step 2: Convert to fraction form
    123.42/170.32 = 118.22/x
  3. Step 3: Cross multiply
    123.42x = 170.32 × 118.22
  4. Step 4: Simplify right side
    123.42x = 20,135.23
  5. Step 5: Solve for x
    x = 20,135.23/123.42
  6. Step 6: Final answer
    x = 163.14

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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.