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Finding the Fourth Proportional to 94.10, 141.31 and 78.01

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Solution

The fourth proportional to 94.10, 141.31 and 78.01 is: 117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.10 : 141.31 = 78.01 : x
  2. Step 2: Convert to fraction form
    94.10/141.31 = 78.01/x
  3. Step 3: Cross multiply
    94.10x = 141.31 × 78.01
  4. Step 4: Simplify right side
    94.10x = 11,022.50
  5. Step 5: Solve for x
    x = 11,022.50/94.10
  6. Step 6: Final answer
    x = 117.13

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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.