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Finding the Fourth Proportional to 66.70, 92.62 and 66.70

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Solution

The fourth proportional to 66.70, 92.62 and 66.70 is: 92.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.70 : 92.62 = 66.70 : x
  2. Step 2: Convert to fraction form
    66.70/92.62 = 66.70/x
  3. Step 3: Cross multiply
    66.70x = 92.62 × 66.70
  4. Step 4: Simplify right side
    66.70x = 6,177.75
  5. Step 5: Solve for x
    x = 6,177.75/66.70
  6. Step 6: Final answer
    x = 92.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.