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Finding the Fourth Proportional to 103.36, 142.59 and 66.58

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Solution

The fourth proportional to 103.36, 142.59 and 66.58 is: 91.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.36 : 142.59 = 66.58 : x
  2. Step 2: Convert to fraction form
    103.36/142.59 = 66.58/x
  3. Step 3: Cross multiply
    103.36x = 142.59 × 66.58
  4. Step 4: Simplify right side
    103.36x = 9,493.64
  5. Step 5: Solve for x
    x = 9,493.64/103.36
  6. Step 6: Final answer
    x = 91.85

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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.