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Finding the Fourth Proportional to 124.02, 185.85 and 69.84

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Solution

The fourth proportional to 124.02, 185.85 and 69.84 is: 104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 185.85 = 69.84 : x
  2. Step 2: Convert to fraction form
    124.02/185.85 = 69.84/x
  3. Step 3: Cross multiply
    124.02x = 185.85 × 69.84
  4. Step 4: Simplify right side
    124.02x = 12,979.76
  5. Step 5: Solve for x
    x = 12,979.76/124.02
  6. Step 6: Final answer
    x = 104.66

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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.