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Finding the Fourth Proportional to 70.84, 105.77 and 66.76

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Solution

The fourth proportional to 70.84, 105.77 and 66.76 is: 99.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 105.77 = 66.76 : x
  2. Step 2: Convert to fraction form
    70.84/105.77 = 66.76/x
  3. Step 3: Cross multiply
    70.84x = 105.77 × 66.76
  4. Step 4: Simplify right side
    70.84x = 7,061.21
  5. Step 5: Solve for x
    x = 7,061.21/70.84
  6. Step 6: Final answer
    x = 99.68

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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.