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Finding the Fourth Proportional to 110.08, 152 and 70.80

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Solution

The fourth proportional to 110.08, 152 and 70.80 is: 97.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.08 : 152 = 70.80 : x
  2. Step 2: Convert to fraction form
    110.08/152 = 70.80/x
  3. Step 3: Cross multiply
    110.08x = 152 × 70.80
  4. Step 4: Simplify right side
    110.08x = 10,761.60
  5. Step 5: Solve for x
    x = 10,761.60/110.08
  6. Step 6: Final answer
    x = 97.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.