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Finding the Fourth Proportional to 102.96, 141.30 and 93.24

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Solution

The fourth proportional to 102.96, 141.30 and 93.24 is: 127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 141.30 = 93.24 : x
  2. Step 2: Convert to fraction form
    102.96/141.30 = 93.24/x
  3. Step 3: Cross multiply
    102.96x = 141.30 × 93.24
  4. Step 4: Simplify right side
    102.96x = 13,174.81
  5. Step 5: Solve for x
    x = 13,174.81/102.96
  6. Step 6: Final answer
    x = 127.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.