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Finding the Fourth Proportional to 124.14, 185.82 and 85.40

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Solution

The fourth proportional to 124.14, 185.82 and 85.40 is: 127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.14 : 185.82 = 85.40 : x
  2. Step 2: Convert to fraction form
    124.14/185.82 = 85.40/x
  3. Step 3: Cross multiply
    124.14x = 185.82 × 85.40
  4. Step 4: Simplify right side
    124.14x = 15,868.19
  5. Step 5: Solve for x
    x = 15,868.19/124.14
  6. Step 6: Final answer
    x = 127.82

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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.