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Finding the Fourth Proportional to 67.70, 95.05 and 67.70

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Solution

The fourth proportional to 67.70, 95.05 and 67.70 is: 95.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 95.05 = 67.70 : x
  2. Step 2: Convert to fraction form
    67.70/95.05 = 67.70/x
  3. Step 3: Cross multiply
    67.70x = 95.05 × 67.70
  4. Step 4: Simplify right side
    67.70x = 6,434.89
  5. Step 5: Solve for x
    x = 6,434.89/67.70
  6. Step 6: Final answer
    x = 95.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.