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Finding the Fourth Proportional to 76.12, 104.64 and 66.10

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Solution

The fourth proportional to 76.12, 104.64 and 66.10 is: 90.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.12 : 104.64 = 66.10 : x
  2. Step 2: Convert to fraction form
    76.12/104.64 = 66.10/x
  3. Step 3: Cross multiply
    76.12x = 104.64 × 66.10
  4. Step 4: Simplify right side
    76.12x = 6,916.70
  5. Step 5: Solve for x
    x = 6,916.70/76.12
  6. Step 6: Final answer
    x = 90.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.