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Finding the Fourth Proportional to 102.63, 141.56 and 69.83

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Solution

The fourth proportional to 102.63, 141.56 and 69.83 is: 96.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.63 : 141.56 = 69.83 : x
  2. Step 2: Convert to fraction form
    102.63/141.56 = 69.83/x
  3. Step 3: Cross multiply
    102.63x = 141.56 × 69.83
  4. Step 4: Simplify right side
    102.63x = 9,885.26
  5. Step 5: Solve for x
    x = 9,885.26/102.63
  6. Step 6: Final answer
    x = 96.32

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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.