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Finding the Fourth Proportional to 67.61, 100.90 and 56

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Solution

The fourth proportional to 67.61, 100.90 and 56 is: 83.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.61 : 100.90 = 56 : x
  2. Step 2: Convert to fraction form
    67.61/100.90 = 56/x
  3. Step 3: Cross multiply
    67.61x = 100.90 × 56
  4. Step 4: Simplify right side
    67.61x = 5,650.40
  5. Step 5: Solve for x
    x = 5,650.40/67.61
  6. Step 6: Final answer
    x = 83.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.