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Finding the Fourth Proportional to 105.66, 158.51 and 65.11

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Solution

The fourth proportional to 105.66, 158.51 and 65.11 is: 97.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 158.51 = 65.11 : x
  2. Step 2: Convert to fraction form
    105.66/158.51 = 65.11/x
  3. Step 3: Cross multiply
    105.66x = 158.51 × 65.11
  4. Step 4: Simplify right side
    105.66x = 10,320.59
  5. Step 5: Solve for x
    x = 10,320.59/105.66
  6. Step 6: Final answer
    x = 97.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.