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Finding the Fourth Proportional to 94.16, 141.14 and 40.03

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Solution

The fourth proportional to 94.16, 141.14 and 40.03 is: 60.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.16 : 141.14 = 40.03 : x
  2. Step 2: Convert to fraction form
    94.16/141.14 = 40.03/x
  3. Step 3: Cross multiply
    94.16x = 141.14 × 40.03
  4. Step 4: Simplify right side
    94.16x = 5,649.58
  5. Step 5: Solve for x
    x = 5,649.58/94.16
  6. Step 6: Final answer
    x = 60.00

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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.