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Finding the Fourth Proportional to 123.24, 170.20 and 100.16

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Solution

The fourth proportional to 123.24, 170.20 and 100.16 is: 138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.24 : 170.20 = 100.16 : x
  2. Step 2: Convert to fraction form
    123.24/170.20 = 100.16/x
  3. Step 3: Cross multiply
    123.24x = 170.20 × 100.16
  4. Step 4: Simplify right side
    123.24x = 17,046.38
  5. Step 5: Solve for x
    x = 17,046.38/123.24
  6. Step 6: Final answer
    x = 138.32

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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.