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Finding the Fourth Proportional to 70.68, 105.46 and 64.19

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Solution

The fourth proportional to 70.68, 105.46 and 64.19 is: 95.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.68 : 105.46 = 64.19 : x
  2. Step 2: Convert to fraction form
    70.68/105.46 = 64.19/x
  3. Step 3: Cross multiply
    70.68x = 105.46 × 64.19
  4. Step 4: Simplify right side
    70.68x = 6,768.63
  5. Step 5: Solve for x
    x = 6,768.63/70.68
  6. Step 6: Final answer
    x = 95.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.