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Finding the Fourth Proportional to 32.77, 45.23 and 22.46

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Solution

The fourth proportional to 32.77, 45.23 and 22.46 is: 31.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.77 : 45.23 = 22.46 : x
  2. Step 2: Convert to fraction form
    32.77/45.23 = 22.46/x
  3. Step 3: Cross multiply
    32.77x = 45.23 × 22.46
  4. Step 4: Simplify right side
    32.77x = 1,015.87
  5. Step 5: Solve for x
    x = 1,015.87/32.77
  6. Step 6: Final answer
    x = 31.00

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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.