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Finding the Fourth Proportional to 60.42, 83.40 and 41.05

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Solution

The fourth proportional to 60.42, 83.40 and 41.05 is: 56.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.42 : 83.40 = 41.05 : x
  2. Step 2: Convert to fraction form
    60.42/83.40 = 41.05/x
  3. Step 3: Cross multiply
    60.42x = 83.40 × 41.05
  4. Step 4: Simplify right side
    60.42x = 3,423.15
  5. Step 5: Solve for x
    x = 3,423.15/60.42
  6. Step 6: Final answer
    x = 56.66

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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.