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Finding the Fourth Proportional to 103.43, 142.75 and 64.13

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Solution

The fourth proportional to 103.43, 142.75 and 64.13 is: 88.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.43 : 142.75 = 64.13 : x
  2. Step 2: Convert to fraction form
    103.43/142.75 = 64.13/x
  3. Step 3: Cross multiply
    103.43x = 142.75 × 64.13
  4. Step 4: Simplify right side
    103.43x = 9,153.56
  5. Step 5: Solve for x
    x = 9,153.56/103.43
  6. Step 6: Final answer
    x = 88.50

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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.