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Finding the Fourth Proportional to 103.05, 154.71 and 64.43

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Solution

The fourth proportional to 103.05, 154.71 and 64.43 is: 96.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.05 : 154.71 = 64.43 : x
  2. Step 2: Convert to fraction form
    103.05/154.71 = 64.43/x
  3. Step 3: Cross multiply
    103.05x = 154.71 × 64.43
  4. Step 4: Simplify right side
    103.05x = 9,967.19
  5. Step 5: Solve for x
    x = 9,967.19/103.05
  6. Step 6: Final answer
    x = 96.72

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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.