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Finding the Fourth Proportional to 124.13, 186.10 and 51.84

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Solution

The fourth proportional to 124.13, 186.10 and 51.84 is: 77.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.13 : 186.10 = 51.84 : x
  2. Step 2: Convert to fraction form
    124.13/186.10 = 51.84/x
  3. Step 3: Cross multiply
    124.13x = 186.10 × 51.84
  4. Step 4: Simplify right side
    124.13x = 9,647.29
  5. Step 5: Solve for x
    x = 9,647.29/124.13
  6. Step 6: Final answer
    x = 77.72

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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.