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Finding the Fourth Proportional to 65.94, 91.05 and 41.42

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Solution

The fourth proportional to 65.94, 91.05 and 41.42 is: 57.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.94 : 91.05 = 41.42 : x
  2. Step 2: Convert to fraction form
    65.94/91.05 = 41.42/x
  3. Step 3: Cross multiply
    65.94x = 91.05 × 41.42
  4. Step 4: Simplify right side
    65.94x = 3,771.22
  5. Step 5: Solve for x
    x = 3,771.22/65.94
  6. Step 6: Final answer
    x = 57.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.