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Finding the Fourth Proportional to 103.55, 142.74 and 74.08

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Solution

The fourth proportional to 103.55, 142.74 and 74.08 is: 102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.55 : 142.74 = 74.08 : x
  2. Step 2: Convert to fraction form
    103.55/142.74 = 74.08/x
  3. Step 3: Cross multiply
    103.55x = 142.74 × 74.08
  4. Step 4: Simplify right side
    103.55x = 10,574.36
  5. Step 5: Solve for x
    x = 10,574.36/103.55
  6. Step 6: Final answer
    x = 102.12

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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.