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Finding the Fourth Proportional to 102.70, 141.64 and 73.54

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Solution

The fourth proportional to 102.70, 141.64 and 73.54 is: 101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.70 : 141.64 = 73.54 : x
  2. Step 2: Convert to fraction form
    102.70/141.64 = 73.54/x
  3. Step 3: Cross multiply
    102.70x = 141.64 × 73.54
  4. Step 4: Simplify right side
    102.70x = 10,416.21
  5. Step 5: Solve for x
    x = 10,416.21/102.70
  6. Step 6: Final answer
    x = 101.42

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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.