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Finding the Fourth Proportional to 102.74, 141.84 and 75.20

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Solution

The fourth proportional to 102.74, 141.84 and 75.20 is: 103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.74 : 141.84 = 75.20 : x
  2. Step 2: Convert to fraction form
    102.74/141.84 = 75.20/x
  3. Step 3: Cross multiply
    102.74x = 141.84 × 75.20
  4. Step 4: Simplify right side
    102.74x = 10,666.37
  5. Step 5: Solve for x
    x = 10,666.37/102.74
  6. Step 6: Final answer
    x = 103.82

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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.