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Finding the Fourth Proportional to 123.66, 185.02 and 106.58

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Solution

The fourth proportional to 123.66, 185.02 and 106.58 is: 159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 185.02 = 106.58 : x
  2. Step 2: Convert to fraction form
    123.66/185.02 = 106.58/x
  3. Step 3: Cross multiply
    123.66x = 185.02 × 106.58
  4. Step 4: Simplify right side
    123.66x = 19,719.63
  5. Step 5: Solve for x
    x = 19,719.63/123.66
  6. Step 6: Final answer
    x = 159.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.