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Finding the Fourth Proportional to 105.66, 145.78 and 70.75

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Solution

The fourth proportional to 105.66, 145.78 and 70.75 is: 97.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 145.78 = 70.75 : x
  2. Step 2: Convert to fraction form
    105.66/145.78 = 70.75/x
  3. Step 3: Cross multiply
    105.66x = 145.78 × 70.75
  4. Step 4: Simplify right side
    105.66x = 10,313.94
  5. Step 5: Solve for x
    x = 10,313.94/105.66
  6. Step 6: Final answer
    x = 97.61

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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.