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Finding the Fourth Proportional to 60.42, 83.35 and 35.85

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Solution

The fourth proportional to 60.42, 83.35 and 35.85 is: 49.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.42 : 83.35 = 35.85 : x
  2. Step 2: Convert to fraction form
    60.42/83.35 = 35.85/x
  3. Step 3: Cross multiply
    60.42x = 83.35 × 35.85
  4. Step 4: Simplify right side
    60.42x = 2,987.92
  5. Step 5: Solve for x
    x = 2,987.92/60.42
  6. Step 6: Final answer
    x = 49.45

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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.