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Finding the Fourth Proportional to 94.31, 141.46 and 40.16

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Solution

The fourth proportional to 94.31, 141.46 and 40.16 is: 60.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.31 : 141.46 = 40.16 : x
  2. Step 2: Convert to fraction form
    94.31/141.46 = 40.16/x
  3. Step 3: Cross multiply
    94.31x = 141.46 × 40.16
  4. Step 4: Simplify right side
    94.31x = 5,681.03
  5. Step 5: Solve for x
    x = 5,681.03/94.31
  6. Step 6: Final answer
    x = 60.24

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Why These Related Problems?

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