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Finding the Fourth Proportional to 96.59, 144.94 and 70.51

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Solution

The fourth proportional to 96.59, 144.94 and 70.51 is: 105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.59 : 144.94 = 70.51 : x
  2. Step 2: Convert to fraction form
    96.59/144.94 = 70.51/x
  3. Step 3: Cross multiply
    96.59x = 144.94 × 70.51
  4. Step 4: Simplify right side
    96.59x = 10,219.72
  5. Step 5: Solve for x
    x = 10,219.72/96.59
  6. Step 6: Final answer
    x = 105.81

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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.