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Finding the Fourth Proportional to 126.16, 173.95 and 77.02

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Solution

The fourth proportional to 126.16, 173.95 and 77.02 is: 106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.16 : 173.95 = 77.02 : x
  2. Step 2: Convert to fraction form
    126.16/173.95 = 77.02/x
  3. Step 3: Cross multiply
    126.16x = 173.95 × 77.02
  4. Step 4: Simplify right side
    126.16x = 13,397.00
  5. Step 5: Solve for x
    x = 13,397.00/126.16
  6. Step 6: Final answer
    x = 106.19

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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.