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Finding the Fourth Proportional to 102.79, 141.82 and 73.63

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Solution

The fourth proportional to 102.79, 141.82 and 73.63 is: 101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.79 : 141.82 = 73.63 : x
  2. Step 2: Convert to fraction form
    102.79/141.82 = 73.63/x
  3. Step 3: Cross multiply
    102.79x = 141.82 × 73.63
  4. Step 4: Simplify right side
    102.79x = 10,442.21
  5. Step 5: Solve for x
    x = 10,442.21/102.79
  6. Step 6: Final answer
    x = 101.59

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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.