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Finding the Fourth Proportional to 102.42, 141.33 and 63.09

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Solution

The fourth proportional to 102.42, 141.33 and 63.09 is: 87.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 141.33 = 63.09 : x
  2. Step 2: Convert to fraction form
    102.42/141.33 = 63.09/x
  3. Step 3: Cross multiply
    102.42x = 141.33 × 63.09
  4. Step 4: Simplify right side
    102.42x = 8,916.51
  5. Step 5: Solve for x
    x = 8,916.51/102.42
  6. Step 6: Final answer
    x = 87.06

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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.