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Finding the Fourth Proportional to 94.47, 141.53 and 71.69

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Solution

The fourth proportional to 94.47, 141.53 and 71.69 is: 107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.47 : 141.53 = 71.69 : x
  2. Step 2: Convert to fraction form
    94.47/141.53 = 71.69/x
  3. Step 3: Cross multiply
    94.47x = 141.53 × 71.69
  4. Step 4: Simplify right side
    94.47x = 10,145.62
  5. Step 5: Solve for x
    x = 10,145.62/94.47
  6. Step 6: Final answer
    x = 107.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.