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Finding the Fourth Proportional to 60.85, 91.28 and 30.43

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Solution

The fourth proportional to 60.85, 91.28 and 30.43 is: 45.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.85 : 91.28 = 30.43 : x
  2. Step 2: Convert to fraction form
    60.85/91.28 = 30.43/x
  3. Step 3: Cross multiply
    60.85x = 91.28 × 30.43
  4. Step 4: Simplify right side
    60.85x = 2,777.16
  5. Step 5: Solve for x
    x = 2,777.16/60.85
  6. Step 6: Final answer
    x = 45.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.