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Finding the Fourth Proportional to 45.60, 68.32 and 21.52

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Solution

The fourth proportional to 45.60, 68.32 and 21.52 is: 32.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.60 : 68.32 = 21.52 : x
  2. Step 2: Convert to fraction form
    45.60/68.32 = 21.52/x
  3. Step 3: Cross multiply
    45.60x = 68.32 × 21.52
  4. Step 4: Simplify right side
    45.60x = 1,470.25
  5. Step 5: Solve for x
    x = 1,470.25/45.60
  6. Step 6: Final answer
    x = 32.24

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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.