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Finding the Fourth Proportional to 94.17, 141.26 and 53.50

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Solution

The fourth proportional to 94.17, 141.26 and 53.50 is: 80.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.17 : 141.26 = 53.50 : x
  2. Step 2: Convert to fraction form
    94.17/141.26 = 53.50/x
  3. Step 3: Cross multiply
    94.17x = 141.26 × 53.50
  4. Step 4: Simplify right side
    94.17x = 7,557.41
  5. Step 5: Solve for x
    x = 7,557.41/94.17
  6. Step 6: Final answer
    x = 80.25

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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.