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Finding the Fourth Proportional to 60.78, 83.94 and 41.40

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Solution

The fourth proportional to 60.78, 83.94 and 41.40 is: 57.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.78 : 83.94 = 41.40 : x
  2. Step 2: Convert to fraction form
    60.78/83.94 = 41.40/x
  3. Step 3: Cross multiply
    60.78x = 83.94 × 41.40
  4. Step 4: Simplify right side
    60.78x = 3,475.12
  5. Step 5: Solve for x
    x = 3,475.12/60.78
  6. Step 6: Final answer
    x = 57.18

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