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Finding the Fourth Proportional to 70.84, 106.17 and 53.67

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Solution

The fourth proportional to 70.84, 106.17 and 53.67 is: 80.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 106.17 = 53.67 : x
  2. Step 2: Convert to fraction form
    70.84/106.17 = 53.67/x
  3. Step 3: Cross multiply
    70.84x = 106.17 × 53.67
  4. Step 4: Simplify right side
    70.84x = 5,697.74
  5. Step 5: Solve for x
    x = 5,697.74/70.84
  6. Step 6: Final answer
    x = 80.43

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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.