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Finding the Fourth Proportional to 102.82, 141.81 and 93.22

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Solution

The fourth proportional to 102.82, 141.81 and 93.22 is: 128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 141.81 = 93.22 : x
  2. Step 2: Convert to fraction form
    102.82/141.81 = 93.22/x
  3. Step 3: Cross multiply
    102.82x = 141.81 × 93.22
  4. Step 4: Simplify right side
    102.82x = 13,219.53
  5. Step 5: Solve for x
    x = 13,219.53/102.82
  6. Step 6: Final answer
    x = 128.57

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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.