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Finding the Fourth Proportional to 124.29, 185.64 and 96.95

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Solution

The fourth proportional to 124.29, 185.64 and 96.95 is: 144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.29 : 185.64 = 96.95 : x
  2. Step 2: Convert to fraction form
    124.29/185.64 = 96.95/x
  3. Step 3: Cross multiply
    124.29x = 185.64 × 96.95
  4. Step 4: Simplify right side
    124.29x = 17,996.87
  5. Step 5: Solve for x
    x = 17,996.87/124.29
  6. Step 6: Final answer
    x = 144.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.