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Finding the Fourth Proportional to 104.96, 143.68 and 101.68

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Solution

The fourth proportional to 104.96, 143.68 and 101.68 is: 139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.96 : 143.68 = 101.68 : x
  2. Step 2: Convert to fraction form
    104.96/143.68 = 101.68/x
  3. Step 3: Cross multiply
    104.96x = 143.68 × 101.68
  4. Step 4: Simplify right side
    104.96x = 14,609.38
  5. Step 5: Solve for x
    x = 14,609.38/104.96
  6. Step 6: Final answer
    x = 139.19

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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.