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Finding the Fourth Proportional to 124.45, 186.61 and 55.90

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Solution

The fourth proportional to 124.45, 186.61 and 55.90 is: 83.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.45 : 186.61 = 55.90 : x
  2. Step 2: Convert to fraction form
    124.45/186.61 = 55.90/x
  3. Step 3: Cross multiply
    124.45x = 186.61 × 55.90
  4. Step 4: Simplify right side
    124.45x = 10,431.50
  5. Step 5: Solve for x
    x = 10,431.50/124.45
  6. Step 6: Final answer
    x = 83.82

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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.