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Finding the Fourth Proportional to 126.47, 174.56 and 74.02

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Solution

The fourth proportional to 126.47, 174.56 and 74.02 is: 102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.47 : 174.56 = 74.02 : x
  2. Step 2: Convert to fraction form
    126.47/174.56 = 74.02/x
  3. Step 3: Cross multiply
    126.47x = 174.56 × 74.02
  4. Step 4: Simplify right side
    126.47x = 12,919.69
  5. Step 5: Solve for x
    x = 12,919.69/126.47
  6. Step 6: Final answer
    x = 102.16

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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.