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Finding the Fourth Proportional to 72.35, 109.05 and 69.08

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Solution

The fourth proportional to 72.35, 109.05 and 69.08 is: 104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.35 : 109.05 = 69.08 : x
  2. Step 2: Convert to fraction form
    72.35/109.05 = 69.08/x
  3. Step 3: Cross multiply
    72.35x = 109.05 × 69.08
  4. Step 4: Simplify right side
    72.35x = 7,532.63
  5. Step 5: Solve for x
    x = 7,532.63/72.35
  6. Step 6: Final answer
    x = 104.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.