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Finding the Fourth Proportional to 103.43, 142.77 and 64.65

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Solution

The fourth proportional to 103.43, 142.77 and 64.65 is: 89.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.43 : 142.77 = 64.65 : x
  2. Step 2: Convert to fraction form
    103.43/142.77 = 64.65/x
  3. Step 3: Cross multiply
    103.43x = 142.77 × 64.65
  4. Step 4: Simplify right side
    103.43x = 9,229.76
  5. Step 5: Solve for x
    x = 9,229.76/103.43
  6. Step 6: Final answer
    x = 89.24

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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.