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Finding the Fourth Proportional to 67.02, 100.98 and 55.86

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Solution

The fourth proportional to 67.02, 100.98 and 55.86 is: 84.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.02 : 100.98 = 55.86 : x
  2. Step 2: Convert to fraction form
    67.02/100.98 = 55.86/x
  3. Step 3: Cross multiply
    67.02x = 100.98 × 55.86
  4. Step 4: Simplify right side
    67.02x = 5,640.74
  5. Step 5: Solve for x
    x = 5,640.74/67.02
  6. Step 6: Final answer
    x = 84.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.