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Finding the Fourth Proportional to 124.81, 172.24 and 75.69

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Solution

The fourth proportional to 124.81, 172.24 and 75.69 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.81 : 172.24 = 75.69 : x
  2. Step 2: Convert to fraction form
    124.81/172.24 = 75.69/x
  3. Step 3: Cross multiply
    124.81x = 172.24 × 75.69
  4. Step 4: Simplify right side
    124.81x = 13,036.66
  5. Step 5: Solve for x
    x = 13,036.66/124.81
  6. Step 6: Final answer
    x = 104.45

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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.