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Finding the Fourth Proportional to 126.02, 173.75 and 101.52

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Solution

The fourth proportional to 126.02, 173.75 and 101.52 is: 139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.02 : 173.75 = 101.52 : x
  2. Step 2: Convert to fraction form
    126.02/173.75 = 101.52/x
  3. Step 3: Cross multiply
    126.02x = 173.75 × 101.52
  4. Step 4: Simplify right side
    126.02x = 17,638.59
  5. Step 5: Solve for x
    x = 17,638.59/126.02
  6. Step 6: Final answer
    x = 139.96

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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.