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Finding the Fourth Proportional to 70.10, 105.03 and 53.85

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Solution

The fourth proportional to 70.10, 105.03 and 53.85 is: 80.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.10 : 105.03 = 53.85 : x
  2. Step 2: Convert to fraction form
    70.10/105.03 = 53.85/x
  3. Step 3: Cross multiply
    70.10x = 105.03 × 53.85
  4. Step 4: Simplify right side
    70.10x = 5,655.87
  5. Step 5: Solve for x
    x = 5,655.87/70.10
  6. Step 6: Final answer
    x = 80.68

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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.