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Finding the Fourth Proportional to 71.69, 108.05 and 71.08

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Solution

The fourth proportional to 71.69, 108.05 and 71.08 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.69 : 108.05 = 71.08 : x
  2. Step 2: Convert to fraction form
    71.69/108.05 = 71.08/x
  3. Step 3: Cross multiply
    71.69x = 108.05 × 71.08
  4. Step 4: Simplify right side
    71.69x = 7,680.19
  5. Step 5: Solve for x
    x = 7,680.19/71.69
  6. Step 6: Final answer
    x = 107.13

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