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Finding the Fourth Proportional to 123.55, 170.47 and 76.92

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Solution

The fourth proportional to 123.55, 170.47 and 76.92 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.55 : 170.47 = 76.92 : x
  2. Step 2: Convert to fraction form
    123.55/170.47 = 76.92/x
  3. Step 3: Cross multiply
    123.55x = 170.47 × 76.92
  4. Step 4: Simplify right side
    123.55x = 13,112.55
  5. Step 5: Solve for x
    x = 13,112.55/123.55
  6. Step 6: Final answer
    x = 106.13

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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.