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Finding the Fourth Proportional to 103.04, 154.10 and 75.71

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Solution

The fourth proportional to 103.04, 154.10 and 75.71 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.04 : 154.10 = 75.71 : x
  2. Step 2: Convert to fraction form
    103.04/154.10 = 75.71/x
  3. Step 3: Cross multiply
    103.04x = 154.10 × 75.71
  4. Step 4: Simplify right side
    103.04x = 11,666.53
  5. Step 5: Solve for x
    x = 11,666.53/103.04
  6. Step 6: Final answer
    x = 113.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.