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Finding the Fourth Proportional to 123.48, 170.46 and 123.24

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Solution

The fourth proportional to 123.48, 170.46 and 123.24 is: 170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.48 : 170.46 = 123.24 : x
  2. Step 2: Convert to fraction form
    123.48/170.46 = 123.24/x
  3. Step 3: Cross multiply
    123.48x = 170.46 × 123.24
  4. Step 4: Simplify right side
    123.48x = 21,007.49
  5. Step 5: Solve for x
    x = 21,007.49/123.48
  6. Step 6: Final answer
    x = 170.13

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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.