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Finding the Fourth Proportional to 124.92, 172.41 and 75.78

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Solution

The fourth proportional to 124.92, 172.41 and 75.78 is: 104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.92 : 172.41 = 75.78 : x
  2. Step 2: Convert to fraction form
    124.92/172.41 = 75.78/x
  3. Step 3: Cross multiply
    124.92x = 172.41 × 75.78
  4. Step 4: Simplify right side
    124.92x = 13,066.16
  5. Step 5: Solve for x
    x = 13,066.16/124.92
  6. Step 6: Final answer
    x = 104.60

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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.