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Finding the Fourth Proportional to 70.64, 105.96 and 70.17

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Solution

The fourth proportional to 70.64, 105.96 and 70.17 is: 105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.64 : 105.96 = 70.17 : x
  2. Step 2: Convert to fraction form
    70.64/105.96 = 70.17/x
  3. Step 3: Cross multiply
    70.64x = 105.96 × 70.17
  4. Step 4: Simplify right side
    70.64x = 7,435.21
  5. Step 5: Solve for x
    x = 7,435.21/70.64
  6. Step 6: Final answer
    x = 105.26

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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.