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Finding the Fourth Proportional to 70.32, 104.64 and 69.84

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Solution

The fourth proportional to 70.32, 104.64 and 69.84 is: 103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.32 : 104.64 = 69.84 : x
  2. Step 2: Convert to fraction form
    70.32/104.64 = 69.84/x
  3. Step 3: Cross multiply
    70.32x = 104.64 × 69.84
  4. Step 4: Simplify right side
    70.32x = 7,308.06
  5. Step 5: Solve for x
    x = 7,308.06/70.32
  6. Step 6: Final answer
    x = 103.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.