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Finding the Fourth Proportional to 104.35, 143.16 and 101.66

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Solution

The fourth proportional to 104.35, 143.16 and 101.66 is: 139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.35 : 143.16 = 101.66 : x
  2. Step 2: Convert to fraction form
    104.35/143.16 = 101.66/x
  3. Step 3: Cross multiply
    104.35x = 143.16 × 101.66
  4. Step 4: Simplify right side
    104.35x = 14,553.12
  5. Step 5: Solve for x
    x = 14,553.12/104.35
  6. Step 6: Final answer
    x = 139.47

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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.