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Finding the Fourth Proportional to 126.77, 189.28 and 102.47

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Solution

The fourth proportional to 126.77, 189.28 and 102.47 is: 153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.77 : 189.28 = 102.47 : x
  2. Step 2: Convert to fraction form
    126.77/189.28 = 102.47/x
  3. Step 3: Cross multiply
    126.77x = 189.28 × 102.47
  4. Step 4: Simplify right side
    126.77x = 19,394.70
  5. Step 5: Solve for x
    x = 19,394.70/126.77
  6. Step 6: Final answer
    x = 153.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.