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Finding the Fourth Proportional to 70.20, 105.03 and 58.05

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Solution

The fourth proportional to 70.20, 105.03 and 58.05 is: 86.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.20 : 105.03 = 58.05 : x
  2. Step 2: Convert to fraction form
    70.20/105.03 = 58.05/x
  3. Step 3: Cross multiply
    70.20x = 105.03 × 58.05
  4. Step 4: Simplify right side
    70.20x = 6,096.99
  5. Step 5: Solve for x
    x = 6,096.99/70.20
  6. Step 6: Final answer
    x = 86.85

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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.