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Finding the Fourth Proportional to 71.87, 98.96 and 71.64

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Solution

The fourth proportional to 71.87, 98.96 and 71.64 is: 98.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.87 : 98.96 = 71.64 : x
  2. Step 2: Convert to fraction form
    71.87/98.96 = 71.64/x
  3. Step 3: Cross multiply
    71.87x = 98.96 × 71.64
  4. Step 4: Simplify right side
    71.87x = 7,089.14
  5. Step 5: Solve for x
    x = 7,089.14/71.87
  6. Step 6: Final answer
    x = 98.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.