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Finding the Fourth Proportional to 60.30, 83.09 and 51.10

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Solution

The fourth proportional to 60.30, 83.09 and 51.10 is: 70.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.30 : 83.09 = 51.10 : x
  2. Step 2: Convert to fraction form
    60.30/83.09 = 51.10/x
  3. Step 3: Cross multiply
    60.30x = 83.09 × 51.10
  4. Step 4: Simplify right side
    60.30x = 4,245.82
  5. Step 5: Solve for x
    x = 4,245.82/60.30
  6. Step 6: Final answer
    x = 70.41

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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.