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Finding the Fourth Proportional to 60.20, 82.91 and 52.00

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Solution

The fourth proportional to 60.20, 82.91 and 52.00 is: 71.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.20 : 82.91 = 52.00 : x
  2. Step 2: Convert to fraction form
    60.20/82.91 = 52.00/x
  3. Step 3: Cross multiply
    60.20x = 82.91 × 52.00
  4. Step 4: Simplify right side
    60.20x = 4,311.24
  5. Step 5: Solve for x
    x = 4,311.24/60.20
  6. Step 6: Final answer
    x = 71.62

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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.