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Finding the Fourth Proportional to 199.43, 275.24 and 124.74

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Solution

The fourth proportional to 199.43, 275.24 and 124.74 is: 172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.43 : 275.24 = 124.74 : x
  2. Step 2: Convert to fraction form
    199.43/275.24 = 124.74/x
  3. Step 3: Cross multiply
    199.43x = 275.24 × 124.74
  4. Step 4: Simplify right side
    199.43x = 34,332.81
  5. Step 5: Solve for x
    x = 34,332.81/199.43
  6. Step 6: Final answer
    x = 172.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.