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Finding the Fourth Proportional to 32.64, 45.04 and 22.96

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Solution

The fourth proportional to 32.64, 45.04 and 22.96 is: 31.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.64 : 45.04 = 22.96 : x
  2. Step 2: Convert to fraction form
    32.64/45.04 = 22.96/x
  3. Step 3: Cross multiply
    32.64x = 45.04 × 22.96
  4. Step 4: Simplify right side
    32.64x = 1,034.12
  5. Step 5: Solve for x
    x = 1,034.12/32.64
  6. Step 6: Final answer
    x = 31.68

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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.