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Finding the Fourth Proportional to 124.71, 172.12 and 74.94

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Solution

The fourth proportional to 124.71, 172.12 and 74.94 is: 103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.71 : 172.12 = 74.94 : x
  2. Step 2: Convert to fraction form
    124.71/172.12 = 74.94/x
  3. Step 3: Cross multiply
    124.71x = 172.12 × 74.94
  4. Step 4: Simplify right side
    124.71x = 12,899.10
  5. Step 5: Solve for x
    x = 12,899.10/124.71
  6. Step 6: Final answer
    x = 103.43

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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.