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Finding the Fourth Proportional to 102.68, 141.84 and 91.76

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Solution

The fourth proportional to 102.68, 141.84 and 91.76 is: 126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.68 : 141.84 = 91.76 : x
  2. Step 2: Convert to fraction form
    102.68/141.84 = 91.76/x
  3. Step 3: Cross multiply
    102.68x = 141.84 × 91.76
  4. Step 4: Simplify right side
    102.68x = 13,015.24
  5. Step 5: Solve for x
    x = 13,015.24/102.68
  6. Step 6: Final answer
    x = 126.76

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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.