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Finding the Fourth Proportional to 71.60, 97.90 and 69.68

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Solution

The fourth proportional to 71.60, 97.90 and 69.68 is: 95.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.60 : 97.90 = 69.68 : x
  2. Step 2: Convert to fraction form
    71.60/97.90 = 69.68/x
  3. Step 3: Cross multiply
    71.60x = 97.90 × 69.68
  4. Step 4: Simplify right side
    71.60x = 6,821.67
  5. Step 5: Solve for x
    x = 6,821.67/71.60
  6. Step 6: Final answer
    x = 95.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.