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Finding the Fourth Proportional to 103.66, 143.10 and 71.06

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Solution

The fourth proportional to 103.66, 143.10 and 71.06 is: 98.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.66 : 143.10 = 71.06 : x
  2. Step 2: Convert to fraction form
    103.66/143.10 = 71.06/x
  3. Step 3: Cross multiply
    103.66x = 143.10 × 71.06
  4. Step 4: Simplify right side
    103.66x = 10,167.97
  5. Step 5: Solve for x
    x = 10,167.97/103.66
  6. Step 6: Final answer
    x = 98.09

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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.