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Finding the Fourth Proportional to 103.17, 142.41 and 70.42

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Solution

The fourth proportional to 103.17, 142.41 and 70.42 is: 97.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.17 : 142.41 = 70.42 : x
  2. Step 2: Convert to fraction form
    103.17/142.41 = 70.42/x
  3. Step 3: Cross multiply
    103.17x = 142.41 × 70.42
  4. Step 4: Simplify right side
    103.17x = 10,028.29
  5. Step 5: Solve for x
    x = 10,028.29/103.17
  6. Step 6: Final answer
    x = 97.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.