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Finding the Fourth Proportional to 70.25, 105.55 and 63.59

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Solution

The fourth proportional to 70.25, 105.55 and 63.59 is: 95.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.25 : 105.55 = 63.59 : x
  2. Step 2: Convert to fraction form
    70.25/105.55 = 63.59/x
  3. Step 3: Cross multiply
    70.25x = 105.55 × 63.59
  4. Step 4: Simplify right side
    70.25x = 6,711.24
  5. Step 5: Solve for x
    x = 6,711.24/70.25
  6. Step 6: Final answer
    x = 95.54

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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.