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Finding the Fourth Proportional to 123.59, 184.51 and 109.92

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Solution

The fourth proportional to 123.59, 184.51 and 109.92 is: 164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.59 : 184.51 = 109.92 : x
  2. Step 2: Convert to fraction form
    123.59/184.51 = 109.92/x
  3. Step 3: Cross multiply
    123.59x = 184.51 × 109.92
  4. Step 4: Simplify right side
    123.59x = 20,282.17
  5. Step 5: Solve for x
    x = 20,282.17/123.59
  6. Step 6: Final answer
    x = 164.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.