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Finding the Fourth Proportional to 60.42, 83.04 and 54.35

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Solution

The fourth proportional to 60.42, 83.04 and 54.35 is: 74.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.42 : 83.04 = 54.35 : x
  2. Step 2: Convert to fraction form
    60.42/83.04 = 54.35/x
  3. Step 3: Cross multiply
    60.42x = 83.04 × 54.35
  4. Step 4: Simplify right side
    60.42x = 4,512.54
  5. Step 5: Solve for x
    x = 4,512.54/60.42
  6. Step 6: Final answer
    x = 74.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.