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Finding the Fourth Proportional to 76.49, 105.25 and 66.10

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Solution

The fourth proportional to 76.49, 105.25 and 66.10 is: 90.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.49 : 105.25 = 66.10 : x
  2. Step 2: Convert to fraction form
    76.49/105.25 = 66.10/x
  3. Step 3: Cross multiply
    76.49x = 105.25 × 66.10
  4. Step 4: Simplify right side
    76.49x = 6,956.92
  5. Step 5: Solve for x
    x = 6,956.92/76.49
  6. Step 6: Final answer
    x = 90.95

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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.