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Finding the Fourth Proportional to 67.06, 92.46 and 55.45

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Solution

The fourth proportional to 67.06, 92.46 and 55.45 is: 76.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.06 : 92.46 = 55.45 : x
  2. Step 2: Convert to fraction form
    67.06/92.46 = 55.45/x
  3. Step 3: Cross multiply
    67.06x = 92.46 × 55.45
  4. Step 4: Simplify right side
    67.06x = 5,126.91
  5. Step 5: Solve for x
    x = 5,126.91/67.06
  6. Step 6: Final answer
    x = 76.45

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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.