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Finding the Fourth Proportional to 51.20, 70.65 and 32.77

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Solution

The fourth proportional to 51.20, 70.65 and 32.77 is: 45.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.20 : 70.65 = 32.77 : x
  2. Step 2: Convert to fraction form
    51.20/70.65 = 32.77/x
  3. Step 3: Cross multiply
    51.20x = 70.65 × 32.77
  4. Step 4: Simplify right side
    51.20x = 2,315.20
  5. Step 5: Solve for x
    x = 2,315.20/51.20
  6. Step 6: Final answer
    x = 45.22

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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.