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Finding the Fourth Proportional to 76.08, 113.85 and 70.05

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Solution

The fourth proportional to 76.08, 113.85 and 70.05 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.08 : 113.85 = 70.05 : x
  2. Step 2: Convert to fraction form
    76.08/113.85 = 70.05/x
  3. Step 3: Cross multiply
    76.08x = 113.85 × 70.05
  4. Step 4: Simplify right side
    76.08x = 7,975.19
  5. Step 5: Solve for x
    x = 7,975.19/76.08
  6. Step 6: Final answer
    x = 104.83

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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.