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Finding the Fourth Proportional to 75, 111.71 and 71.16

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Solution

The fourth proportional to 75, 111.71 and 71.16 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 111.71 = 71.16 : x
  2. Step 2: Convert to fraction form
    75/111.71 = 71.16/x
  3. Step 3: Cross multiply
    75x = 111.71 × 71.16
  4. Step 4: Simplify right side
    75x = 7,948.93
  5. Step 5: Solve for x
    x = 7,948.93/75
  6. Step 6: Final answer
    x = 105.99

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